426442122560400 has 120 divisors (see below), whose sum is σ = 1366186563371424. Its totient is φ = 113705387596800.

The previous prime is 426442122560341. The next prime is 426442122560401. The reversal of 426442122560400 is 4065221244624.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (426442122560401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8635869 + ... + 30454268.

Almost surely, 2^{426442122560400} is an apocalyptic number.

426442122560400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426442122560400 is an abundant number, since it is smaller than the sum of its proper divisors (939744440811024).

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

426442122560400 is a wasteful number, since it uses less digits than its factorization.

426442122560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39099249 (or 39099238 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 426442122560400 in words is "four hundred twenty-six trillion, four hundred forty-two billion, one hundred twenty-two million, five hundred sixty thousand, four hundred".