40057804800 has 720 divisors, whose sum is σ = 159993353520. Its totient is φ = 9847111680.

The previous prime is 40057804783. The next prime is 40057804807. The reversal of 40057804800 is 840875004.

40057804800 is a `hidden beast` number, since 4 + 0 + 0 + 578 + 0 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40057804807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913229 + ... + 53913971.

It is an arithmetic number, because the mean of its divisors is an integer number (222212991).

Almost surely, 2^40057804800 is an apocalyptic number.

40057804800 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 40057804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79996676760).

40057804800 is an abundant number, since it is smaller than the sum of its proper divisors (119935548720).

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

40057804800 is a wasteful number, since it uses less digits than its factorization.

40057804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 40057804800 in words is "forty billion, fifty-seven million, eight hundred four thousand, eight hundred".