426483327744 has 216 divisors, whose sum is σ = 1275615432000. Its totient is φ = 136935751680.

The previous prime is 426483327701. The next prime is 426483327757. The reversal of 426483327744 is 447723384624.

426483327744 is a `hidden beast` number, since 4 + 26 + 483 + 32 + 77 + 44 = 666.

It is a super-2 number, since 2×426483327744² (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, 7434082 + ... + 7491230.

It is an arithmetic number, because the mean of its divisors is an integer number (5905627000).

Almost surely, 2^426483327744 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 426483327744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637807716000).

426483327744 is an abundant number, since it is smaller than the sum of its proper divisors (849132104256).

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

426483327744 is a wasteful number, since it uses less digits than its factorization.

426483327744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57291 (or 57274 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 426483327744 in words is "four hundred twenty-six billion, four hundred eighty-three million, three hundred twenty-seven thousand, seven hundred forty-four".