426332160000 has 800 divisors, whose sum is σ = 1597825743030. Its totient is φ = 113246208000.

The previous prime is 426332159999. The next prime is 426332160011. The reversal of 426332160000 is 61233624.

426332160000 is a `hidden beast` number, since 4 + 2 + 6 + 33 + 21 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 77079527424 + 349252632576 = 277632^2 + 590976^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×426332160000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1658879872 + ... + 1658880128.

Almost surely, 2^426332160000 is an apocalyptic number.

426332160000 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 426332160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798912871515).

426332160000 is an abundant number, since it is smaller than the sum of its proper divisors (1171493583030).

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

426332160000 is an frugal number, since it uses more digits than its factorization.

426332160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 426332160000 its reverse (61233624), we get a palindrome (426393393624).

The spelling of 426332160000 in words is "four hundred twenty-six billion, three hundred thirty-two million, one hundred sixty thousand".