42052552400 has 60 divisors (see below), whose sum is σ = 101472662700. Its totient is φ = 16747530240.

The previous prime is 42052552393. The next prime is 42052552403. The reversal of 42052552400 is 425525024.

It can be written as a sum of positive squares in 6 ways, for example, as 302620816 + 41749931584 = 17396^2 + 204328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052552403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137945 + ... + 321144.

It is an arithmetic number, because the mean of its divisors is an integer number (1691211045).

Almost surely, 2^42052552400 is an apocalyptic number.

42052552400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42052552400 is an abundant number, since it is smaller than the sum of its proper divisors (59420110300).

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

42052552400 is a wasteful number, since it uses less digits than its factorization.

42052552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459336 (or 459325 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The spelling of 42052552400 in words is "forty-two billion, fifty-two million, five hundred fifty-two thousand, four hundred".