40520990016000 has 3200 divisors, whose sum is σ = 174188966567616. Its totient is φ = 9274864435200.

The previous prime is 40520990015981. The next prime is 40520990016071. The reversal of 40520990016000 is 61009902504.

40520990016000 is a `hidden beast` number, since 40 + 5 + 2 + 0 + 9 + 9 + 0 + 0 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 38253532283136 + 2267457732864 = 6184944^2 + 1505808^2 .

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 129460031844 + ... + 129460032156.

Almost surely, 2^{40520990016000} is an apocalyptic number.

40520990016000 is a gapful number since it is divisible by the number (40) 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 40520990016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87094483283808).

40520990016000 is an abundant number, since it is smaller than the sum of its proper divisors (133667976551616).

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

40520990016000 is a wasteful number, since it uses less digits than its factorization.

40520990016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 40520990016000 its reverse (61009902504), we get a palindrome (40581999918504).

The spelling of 40520990016000 in words is "forty trillion, five hundred twenty billion, nine hundred ninety million, sixteen thousand".