540099874944 has 512 divisors, whose sum is σ = 1876572825600. Its totient is φ = 149720223744.

The previous prime is 540099874891. The next prime is 540099874999. The reversal of 540099874944 is 449478990045.

540099874944 is a `hidden beast` number, since 54 + 0 + 0 + 9 + 98 + 7 + 494 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163318539 + ... + 163321845.

It is an arithmetic number, because the mean of its divisors is an integer number (3665181300).

Almost surely, 2^540099874944 is an apocalyptic number.

540099874944 is a gapful number since it is divisible by the number (54) 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 540099874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938286412800).

540099874944 is an abundant number, since it is smaller than the sum of its proper divisors (1336472950656).

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

540099874944 is a wasteful number, since it uses less digits than its factorization.

540099874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 540099874944 in words is "five hundred forty billion, ninety-nine million, eight hundred seventy-four thousand, nine hundred forty-four".