40389901643025 has 405 divisors, whose sum is σ = 84762765504417. Its totient is φ = 18998802979200.

The previous prime is 40389901643023. The next prime is 40389901643081. The reversal of 40389901643025 is 52034610998304.

The square root of 40389901643025 is 6355305.

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

40389901643025 is a `hidden beast` number, since 40 + 3 + 89 + 90 + 1 + 6 + 430 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3834237850641 + 36555663792384 = 1958121^2 + 6046128^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 40389901643025 - 2¹ = 40389901643023 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40389901643023) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 116397410902 + ... + 116397411248.

Almost surely, 2^{40389901643025} is an apocalyptic number.

40389901643025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40389901643025 is the 6355305-th square number.

40389901643025 is the 3177653-rd centered octagonal number.

It is an amenable number.

40389901643025 is an abundant number, since it is smaller than the sum of its proper divisors (44372863861392).

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

40389901643025 is an equidigital number, since it uses as much as digits as its factorization.

40389901643025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 40389901643025 in words is "forty trillion, three hundred eighty-nine billion, nine hundred one million, six hundred forty-three thousand, twenty-five".