540157094400 has 1920 divisors, whose sum is σ = 2356841152512. Its totient is φ = 105799680000.

The previous prime is 540157094377. The next prime is 540157094413. The reversal of 540157094400 is 4490751045.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×540157094400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6507916759 + ... + 6507916841.

Almost surely, 2^540157094400 is an apocalyptic number.

540157094400 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 540157094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178420576256).

540157094400 is an abundant number, since it is smaller than the sum of its proper divisors (1816684058112).

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

540157094400 is a wasteful number, since it uses less digits than its factorization.

540157094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 540157094400 in words is "five hundred forty billion, one hundred fifty-seven million, ninety-four thousand, four hundred".