540232609174200 has 384 divisors, whose sum is σ = 1874919788971200. Its totient is φ = 142969579683840.

The previous prime is 540232609174177. The next prime is 540232609174343. The reversal of 540232609174200 is 2471906232045.

540232609174200 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 3 + 2 + 609 + 17 + 4 + 20 + 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 95 ways as a sum of consecutive naturals, for example, 2631365952 + ... + 2631571248.

Almost surely, 2^{540232609174200} is an apocalyptic number.

540232609174200 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 540232609174200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937459894485600).

540232609174200 is an abundant number, since it is smaller than the sum of its proper divisors (1334687179797000).

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

540232609174200 is a wasteful number, since it uses less digits than its factorization.

540232609174200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209016 (or 209001 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 540232609174200 in words is "five hundred forty trillion, two hundred thirty-two billion, six hundred nine million, one hundred seventy-four thousand, two hundred".