40057987200 has 768 divisors, whose sum is σ = 168143523840. Its totient is φ = 8139571200.

The previous prime is 40057987159. The next prime is 40057987219. The reversal of 40057987200 is 278975004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34741824 + ... + 34742976.

It is an arithmetic number, because the mean of its divisors is an integer number (218936880).

Almost surely, 2^40057987200 is an apocalyptic number.

40057987200 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 40057987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84071761920).

40057987200 is an abundant number, since it is smaller than the sum of its proper divisors (128085536640).

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

40057987200 is a wasteful number, since it uses less digits than its factorization.

40057987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 40057987200 in words is "forty billion, fifty-seven million, nine hundred eighty-seven thousand, two hundred".