540904224000 has 576 divisors, whose sum is σ = 2101135196160. Its totient is φ = 120753561600.

The previous prime is 540904223933. The next prime is 540904224031. The reversal of 540904224000 is 422409045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 28886641 + ... + 28905359.

It is an arithmetic number, because the mean of its divisors is an integer number (3647804160).

Almost surely, 2^540904224000 is an apocalyptic number.

540904224000 is a gapful number since it is divisible by the number (50) 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 540904224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050567598080).

540904224000 is an abundant number, since it is smaller than the sum of its proper divisors (1560230972160).

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

540904224000 is a wasteful number, since it uses less digits than its factorization.

540904224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 540904224000 in words is "five hundred forty billion, nine hundred four million, two hundred twenty-four thousand".