40597642800 has 960 divisors, whose sum is σ = 172142315520. Its totient is φ = 8957952000.

The previous prime is 40597642781. The next prime is 40597642927. The reversal of 40597642800 is 824679504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149806665 + ... + 149806935.

It is an arithmetic number, because the mean of its divisors is an integer number (179314912).

Almost surely, 2^40597642800 is an apocalyptic number.

40597642800 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 40597642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86071157760).

40597642800 is an abundant number, since it is smaller than the sum of its proper divisors (131544672720).

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

40597642800 is a wasteful number, since it uses less digits than its factorization.

40597642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40597642800 in words is "forty billion, five hundred ninety-seven million, six hundred forty-two thousand, eight hundred".