42651087408400 has 45 divisors (see below), whose sum is σ = 102469551303621. Its totient is φ = 17060382717120.

The previous prime is 42651087408367. The next prime is 42651087408409. The reversal of 42651087408400 is 480478015624.

It is a happy number.

The square root of 42651087408400 is 6530780.

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

42651087408400 is digitally balanced in base 5, 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 only one way, i.e., 15354391467024 + 27296695941376 = 3918468^2 + 5224624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42651087408409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130452331 + ... + 130778869.

Almost surely, 2^{42651087408400} is an apocalyptic number.

42651087408400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42651087408400 is the 6530780-th square number.

It is an amenable number.

42651087408400 is an abundant number, since it is smaller than the sum of its proper divisors (59818463895221).

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

42651087408400 is an frugal number, since it uses more digits than its factorization.

42651087408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653096 (or 326546 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 42651087408400 in words is "forty-two trillion, six hundred fifty-one billion, eighty-seven million, four hundred eight thousand, four hundred".