540024657912 has 128 divisors (see below), whose sum is σ = 1552287744000. Its totient is φ = 173745855360.

The previous prime is 540024657881. The next prime is 540024657943. The reversal of 540024657912 is 219756420045.

540024657912 is a `hidden beast` number, since 5 + 40 + 0 + 24 + 6 + 579 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (540024657881) and next prime (540024657943).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22732713 + ... + 22756455.

It is an arithmetic number, because the mean of its divisors is an integer number (12127248000).

Almost surely, 2^540024657912 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 540024657912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776143872000).

540024657912 is an abundant number, since it is smaller than the sum of its proper divisors (1012263086088).

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

540024657912 is a wasteful number, since it uses less digits than its factorization.

540024657912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27418 (or 27408 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 540024657912 in words is "five hundred forty billion, twenty-four million, six hundred fifty-seven thousand, nine hundred twelve".