540639422400 has 1260 divisors, whose sum is σ = 2284115589240. Its totient is φ = 111625113600.

The previous prime is 540639422363. The next prime is 540639422413. The reversal of 540639422400 is 4224936045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3443563122 + ... + 3443563278.

Almost surely, 2^540639422400 is an apocalyptic number.

540639422400 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 540639422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142057794620).

540639422400 is an abundant number, since it is smaller than the sum of its proper divisors (1743476166840).

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

540639422400 is a wasteful number, since it uses less digits than its factorization.

540639422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 540639422400 in words is "five hundred forty billion, six hundred thirty-nine million, four hundred twenty-two thousand, four hundred".