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40066013571984 = 2436292432472
BaseRepresentation
bin10010001110000100110001…
…00000011010101110010000
312020212021101101002221000000
421013002120200122232100
520222420143433300414
6221114023400130000
711303450111124201
oct1107023040325620
9166767341087000
1040066013571984
11118479a0162834
1245b108aa66900
131948293b6306a
149c72c38b15a8
15497320388b09
hex24709881ab90

40066013571984 has 945 divisors, whose sum is σ = 126090446854593. Its totient is φ = 12326952460032.

The previous prime is 40066013571977. The next prime is 40066013572009. The reversal of 40066013571984 is 48917531066004.

The square root of 40066013571984 is 6329772.

It is a perfect power (a square), and thus also a powerful number.

40066013571984 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 60 + 1 + 3 + 571 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21009645642384 + 19056367929600 = 4583628^2 + 4365360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40066013571984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 852468373849 + ... + 852468373895.

Almost surely, 240066013571984 is an apocalyptic number.

40066013571984 is the 6329772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40066013571984

40066013571984 is an abundant number, since it is smaller than the sum of its proper divisors (86024433282609).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40066013571984 is an frugal number, since it uses more digits than its factorization.

40066013571984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 400660 and 13571984, that added together give a square (13972644 = 37382).

The spelling of 40066013571984 in words is "forty trillion, sixty-six billion, thirteen million, five hundred seventy-one thousand, nine hundred eighty-four".