426905541792 has 144 divisors (see below), whose sum is σ = 1247529602592. Its totient is φ = 138377479680.

The previous prime is 426905541787. The next prime is 426905541827. The reversal of 426905541792 is 297145509624.

It is a happy number.

426905541792 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 0 + 5 + 541 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×426905541792² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20566363 + ... + 20587109.

It is an arithmetic number, because the mean of its divisors is an integer number (8663400018).

Almost surely, 2^426905541792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426905541792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623764801296).

426905541792 is an abundant number, since it is smaller than the sum of its proper divisors (820624060800).

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

426905541792 is a wasteful number, since it uses less digits than its factorization.

426905541792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22731 (or 22720 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 426905541792 in words is "four hundred twenty-six billion, nine hundred five million, five hundred forty-one thousand, seven hundred ninety-two".