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40066236959616 = 2734719238531481
BaseRepresentation
bin10010001110000101001011…
…10100100100101110000000
312020212021221221110012020000
421013002211310210232000
520222421123130201431
6221114101500120000
711303455462650120
oct1107024564445600
9166767857405200
1040066236959616
1111847aa526a20a
1245b1131836000
1319482cb2186aa
149c7305420c80
15497334cb29e6
hex2470a5d24b80

40066236959616 has 1280 divisors, whose sum is σ = 149955655449600. Its totient is φ = 10354317557760.

The previous prime is 40066236959603. The next prime is 40066236959677. The reversal of 40066236959616 is 61695963266004.

It is a happy number.

40066236959616 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 6 + 2 + 3 + 6 + 9 + 5 + 9 + 616 = 666.

It is a super-2 number, since 2×400662369596162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27053501596 + ... + 27053503076.

It is an arithmetic number, because the mean of its divisors is an integer number (117152855820).

Almost surely, 240066236959616 is an apocalyptic number.

40066236959616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40066236959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74977827724800).

40066236959616 is an abundant number, since it is smaller than the sum of its proper divisors (109889418489984).

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

40066236959616 is a wasteful number, since it uses less digits than its factorization.

40066236959616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 40066236959616 in words is "forty trillion, sixty-six billion, two hundred thirty-six million, nine hundred fifty-nine thousand, six hundred sixteen".