40025903984640 has 1248 divisors, whose sum is σ = 166157837213760. Its totient is φ = 9114040664064.

The previous prime is 40025903984513. The next prime is 40025903984713. The reversal of 40025903984640 is 4648930952004.

40025903984640 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 5 + 90 + 3 + 98 + 464 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7505323414 + ... + 7505328746.

Almost surely, 2^{40025903984640} is an apocalyptic number.

40025903984640 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 40025903984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83078918606880).

40025903984640 is an abundant number, since it is smaller than the sum of its proper divisors (126131933229120).

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

40025903984640 is a wasteful number, since it uses less digits than its factorization.

40025903984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 40025903984640 in words is "forty trillion, twenty-five billion, nine hundred three million, nine hundred eighty-four thousand, six hundred forty".