542507414400 has 576 divisors, whose sum is σ = 2294293572480. Its totient is φ = 124000450560.

The previous prime is 542507414389. The next prime is 542507414413. The reversal of 542507414400 is 4414705245.

542507414400 is a `hidden beast` number, since 5 + 4 + 2 + 507 + 4 + 144 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5393367 + ... + 5493033.

Almost surely, 2^542507414400 is an apocalyptic number.

542507414400 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 542507414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147146786240).

542507414400 is an abundant number, since it is smaller than the sum of its proper divisors (1751786158080).

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

542507414400 is an equidigital number, since it uses as much as digits as its factorization.

542507414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99713 (or 99684 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 542507414400 in words is "five hundred forty-two billion, five hundred seven million, four hundred fourteen thousand, four hundred".