40780057245600 has 2304 divisors, whose sum is σ = 161341673472000. Its totient is φ = 8863993036800.

The previous prime is 40780057245563. The next prime is 40780057245647. The reversal of 40780057245600 is 654275008704.

40780057245600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40780057245600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49191865986 + ... + 49191866814.

It is an arithmetic number, because the mean of its divisors is an integer number (70026768000).

Almost surely, 2^{40780057245600} is an apocalyptic number.

40780057245600 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 40780057245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80670836736000).

40780057245600 is an abundant number, since it is smaller than the sum of its proper divisors (120561616226400).

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

40780057245600 is a wasteful number, since it uses less digits than its factorization.

40780057245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 40780057245600 in words is "forty trillion, seven hundred eighty billion, fifty-seven million, two hundred forty-five thousand, six hundred".