42592704400 has 135 divisors (see below), whose sum is σ = 108881779539. Its totient is φ = 16008483840.

The previous prime is 42592704361. The next prime is 42592704431. The reversal of 42592704400 is 440729524.

The square root of 42592704400 is 206380.

It is a perfect power (a square), and thus also a powerful number.

42592704400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 996286096 + 41596418304 = 31564^2 + 203952^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42592704400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70168897 + ... + 70169503.

Almost surely, 2^42592704400 is an apocalyptic number.

42592704400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42592704400 is the 206380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42592704400

42592704400 is an abundant number, since it is smaller than the sum of its proper divisors (66289075139).

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

42592704400 is an equidigital number, since it uses as much as digits as its factorization.

42592704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 42592704400 in words is "forty-two billion, five hundred ninety-two million, seven hundred four thousand, four hundred".