42534979200 has 1440 divisors, whose sum is σ = 194312077740. Its totient is φ = 9103933440.

The previous prime is 42534979177. The next prime is 42534979213. The reversal of 42534979200 is 297943524.

42534979200 is a `hidden beast` number, since 4 + 2 + 534 + 97 + 9 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34213161024 + 8321818176 = 184968^2 + 91224^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 215913502 + ... + 215913698.

Almost surely, 2^42534979200 is an apocalyptic number.

42534979200 is a gapful number since it is divisible by the number (40) 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 42534979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97156038870).

42534979200 is an abundant number, since it is smaller than the sum of its proper divisors (151777098540).

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

42534979200 is a wasteful number, since it uses less digits than its factorization.

42534979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42534979200 in words is "forty-two billion, five hundred thirty-four million, nine hundred seventy-nine thousand, two hundred".