542165044106400 has 576 divisors, whose sum is σ = 2077767396625536. Its totient is φ = 121060435968000.

The previous prime is 542165044106381. The next prime is 542165044106417. The reversal of 542165044106400 is 4601440561245.

It is a happy 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, 156501822 + ... + 159928578.

It is an arithmetic number, because the mean of its divisors is an integer number (3607235063586).

Almost surely, 2^{542165044106400} is an apocalyptic number.

542165044106400 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 542165044106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038883698312768).

542165044106400 is an abundant number, since it is smaller than the sum of its proper divisors (1535602352519136).

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

542165044106400 is a wasteful number, since it uses less digits than its factorization.

542165044106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427265 (or 3427252 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 542165044106400 its reverse (4601440561245), we get a palindrome (546766484667645).

The spelling of 542165044106400 in words is "five hundred forty-two trillion, one hundred sixty-five billion, forty-four million, one hundred six thousand, four hundred".