540039274694712 has 384 divisors, whose sum is σ = 1593322278912000. Its totient is φ = 164259812183040.

The previous prime is 540039274694641. The next prime is 540039274694761. The reversal of 540039274694712 is 217496472930045.

540039274694712 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 3 + 92 + 74 + 6 + 9 + 471 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 540039274694712.

It is a congruent number.

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, 16792772089 + ... + 16792804247.

It is an arithmetic number, because the mean of its divisors is an integer number (4149276768000).

Almost surely, 2^{540039274694712} is an apocalyptic number.

540039274694712 is a gapful number since it is divisible by the number (52) 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 540039274694712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796661139456000).

540039274694712 is an abundant number, since it is smaller than the sum of its proper divisors (1053283004217288).

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

540039274694712 is a wasteful number, since it uses less digits than its factorization.

540039274694712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32971 (or 32964 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 540039274694712 in words is "five hundred forty trillion, thirty-nine billion, two hundred seventy-four million, six hundred ninety-four thousand, seven hundred twelve".