542013044994000 has 1920 divisors, whose sum is σ = 2066632271069184. Its totient is φ = 137121050880000.

The previous prime is 542013044993951. The next prime is 542013044994017. The reversal of 542013044994000 is 499440310245.

542013044994000 is a `hidden beast` number, since 5 + 4 + 20 + 130 + 4 + 4 + 99 + 400 + 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 383 ways as a sum of consecutive naturals, for example, 337282541197 + ... + 337282542803.

Almost surely, 2^{542013044994000} is an apocalyptic number.

542013044994000 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 542013044994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033316135534592).

542013044994000 is an abundant number, since it is smaller than the sum of its proper divisors (1524619226075184).

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

542013044994000 is a wasteful number, since it uses less digits than its factorization.

542013044994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 542013044994000 in words is "five hundred forty-two trillion, thirteen billion, forty-four million, nine hundred ninety-four thousand".