542400162336 has 36 divisors (see below), whose sum is σ = 1542450462462. Its totient is φ = 180800054016.

The previous prime is 542400162323. The next prime is 542400162379. The reversal of 542400162336 is 633261004245.

542400162336 is a `hidden beast` number, since 5 + 4 + 2 + 400 + 16 + 233 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 398489187600 + 143910974736 = 631260^2 + 379356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×542400162336² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 542400162336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 941666661 + ... + 941667236.

Almost surely, 2^542400162336 is an apocalyptic number.

It is an amenable number.

542400162336 is an abundant number, since it is smaller than the sum of its proper divisors (1000050300126).

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

542400162336 is a wasteful number, since it uses less digits than its factorization.

542400162336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883333913 (or 1883333902 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 542400162336 in words is "five hundred forty-two billion, four hundred million, one hundred sixty-two thousand, three hundred thirty-six".