542420654400 has 126 divisors (see below), whose sum is σ = 1927891128462. Its totient is φ = 144645504000.

The previous prime is 542420654351. The next prime is 542420654401. The reversal of 542420654400 is 4456024245.

542420654400 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 206 + 5 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 147476736 + 542273177664 = 12144^2 + 736392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542420654401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18819651 + ... + 18848450.

Almost surely, 2^542420654400 is an apocalyptic number.

542420654400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542420654400 is an abundant number, since it is smaller than the sum of its proper divisors (1385470474062).

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

542420654400 is a wasteful number, since it uses less digits than its factorization.

542420654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37668129 (or 37668111 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 542420654400 its reverse (4456024245), we get a palindrome (546876678645).

The spelling of 542420654400 in words is "five hundred forty-two billion, four hundred twenty million, six hundred fifty-four thousand, four hundred".