426127816749096 has 1280 divisors, whose sum is σ = 1566704747520000. Its totient is φ = 107217013962240.

The previous prime is 426127816749049. The next prime is 426127816749137. The reversal of 426127816749096 is 690947618721624.

426127816749096 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 2 + 78 + 1 + 67 + 490 + 9 + 6 = 666.

It is a super-2 number, since 2×426127816749096² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10236792235 + ... + 10236833861.

It is an arithmetic number, because the mean of its divisors is an integer number (1223988084000).

Almost surely, 2^{426127816749096} 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 426127816749096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783352373760000).

426127816749096 is an abundant number, since it is smaller than the sum of its proper divisors (1140576930770904).

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

426127816749096 is a wasteful number, since it uses less digits than its factorization.

426127816749096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41809 (or 41782 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 426127816749096 in words is "four hundred twenty-six trillion, one hundred twenty-seven billion, eight hundred sixteen million, seven hundred forty-nine thousand, ninety-six".