40897332000 has 768 divisors, whose sum is σ = 173903708160. Its totient is φ = 9141120000.

The previous prime is 40897331971. The next prime is 40897332011. The reversal of 40897332000 is 23379804.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35531425 + ... + 35532575.

It is an arithmetic number, because the mean of its divisors is an integer number (226437120).

Almost surely, 2^40897332000 is an apocalyptic number.

40897332000 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 40897332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86951854080).

40897332000 is an abundant number, since it is smaller than the sum of its proper divisors (133006376160).

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

40897332000 is a wasteful number, since it uses less digits than its factorization.

40897332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 40897332000 in words is "forty billion, eight hundred ninety-seven million, three hundred thirty-two thousand".