540496923120 has 2400 divisors, whose sum is σ = 2551726679040. Its totient is φ = 103464345600.

The previous prime is 540496923119. The next prime is 540496923137. The reversal of 540496923120 is 21329694045.

540496923120 is a `hidden beast` number, since 5 + 40 + 496 + 92 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7404067404 + ... + 7404067476.

Almost surely, 2^540496923120 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 540496923120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275863339520).

540496923120 is an abundant number, since it is smaller than the sum of its proper divisors (2011229755920).

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

540496923120 is a wasteful number, since it uses less digits than its factorization.

540496923120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 540496923120 in words is "five hundred forty billion, four hundred ninety-six million, nine hundred twenty-three thousand, one hundred twenty".