365540140872 has 256 divisors, whose sum is σ = 1060770816000. Its totient is φ = 116530444800.

The previous prime is 365540140871. The next prime is 365540140883. The reversal of 365540140872 is 278041045563.

365540140872 is a `hidden beast` number, since 3 + 6 + 554 + 0 + 14 + 0 + 87 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (365540140871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241918597 + ... + 241920107.

It is an arithmetic number, because the mean of its divisors is an integer number (4143636000).

Almost surely, 2^365540140872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365540140872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530385408000).

365540140872 is an abundant number, since it is smaller than the sum of its proper divisors (695230675128).

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

365540140872 is a wasteful number, since it uses less digits than its factorization.

365540140872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 365540140872 in words is "three hundred sixty-five billion, five hundred forty million, one hundred forty thousand, eight hundred seventy-two".