426407744400 has 240 divisors, whose sum is σ = 1521807740928. Its totient is φ = 101172032000.

The previous prime is 426407744363. The next prime is 426407744401. The reversal of 426407744400 is 4447704624.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (426407744401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276745 + ... + 964055.

Almost surely, 2^426407744400 is an apocalyptic number.

426407744400 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 426407744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760903870464).

426407744400 is an abundant number, since it is smaller than the sum of its proper divisors (1095399996528).

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

426407744400 is a wasteful number, since it uses less digits than its factorization.

426407744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687390 (or 687379 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

The spelling of 426407744400 in words is "four hundred twenty-six billion, four hundred seven million, seven hundred forty-four thousand, four hundred".