40710925440 has 384 divisors, whose sum is σ = 149736852720. Its totient is φ = 10156769280.

The previous prime is 40710925439. The next prime is 40710925459. The reversal of 40710925440 is 4452901704.

It is a happy number.

40710925440 is a `hidden beast` number, since 4 + 0 + 7 + 109 + 2 + 544 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9602432064 + 31108493376 = 97992^2 + 176376^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 40710925395 and 40710925404.

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 47 ways as a sum of consecutive naturals, for example, 17722372 + ... + 17724668.

Almost surely, 2^40710925440 is an apocalyptic number.

40710925440 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 40710925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74868426360).

40710925440 is an abundant number, since it is smaller than the sum of its proper divisors (109025927280).

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

40710925440 is a wasteful number, since it uses less digits than its factorization.

40710925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40710925440 in words is "forty billion, seven hundred ten million, nine hundred twenty-five thousand, four hundred forty".