540131070400000 has 120 divisors (see below), whose sum is σ = 1348922664048960. Its totient is φ = 216052427520000.

The previous prime is 540131070399989. The next prime is 540131070400049. The reversal of 540131070400000 is 4070131045.

It is a super-2 number, since 2×540131070400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167190960 + ... + 170390959.

It is an arithmetic number, because the mean of its divisors is an integer number (11241022200408).

Almost surely, 2^{540131070400000} is an apocalyptic number.

540131070400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540131070400000 is an abundant number, since it is smaller than the sum of its proper divisors (808791593648960).

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

540131070400000 is an frugal number, since it uses more digits than its factorization.

540131070400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337581962 (or 337581926 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The spelling of 540131070400000 in words is "five hundred forty trillion, one hundred thirty-one billion, seventy million, four hundred thousand".