542369951244 has 288 divisors, whose sum is σ = 1636706373120. Its totient is φ = 155436019200.

The previous prime is 542369951239. The next prime is 542369951269. The reversal of 542369951244 is 442159963245.

542369951244 is a `hidden beast` number, since 5 + 4 + 2 + 36 + 99 + 512 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 21874134 + ... + 21898914.

It is an arithmetic number, because the mean of its divisors is an integer number (5683008240).

Almost surely, 2^542369951244 is an apocalyptic number.

542369951244 is a gapful number since it is divisible by the number (54) 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 542369951244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818353186560).

542369951244 is an abundant number, since it is smaller than the sum of its proper divisors (1094336421876).

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

542369951244 is a wasteful number, since it uses less digits than its factorization.

542369951244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24923 (or 24909 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 542369951244 in words is "five hundred forty-two billion, three hundred sixty-nine million, nine hundred fifty-one thousand, two hundred forty-four".