426756284416 has 336 divisors, whose sum is σ = 1130810755392. Its totient is φ = 156421324800.

The previous prime is 426756284407. The next prime is 426756284503. The reversal of 426756284416 is 614482657624.

It is a super-2 number, since 2×426756284416² (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, 182295406 + ... + 182297746.

Almost surely, 2^426756284416 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 426756284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565405377696).

426756284416 is an abundant number, since it is smaller than the sum of its proper divisors (704054470976).

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

426756284416 is a wasteful number, since it uses less digits than its factorization.

426756284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2378 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 55.

The spelling of 426756284416 in words is "four hundred twenty-six billion, seven hundred fifty-six million, two hundred eighty-four thousand, four hundred sixteen".