426972645120 has 576 divisors, whose sum is σ = 1647363271680. Its totient is φ = 92069167104.

The previous prime is 426972645109. The next prime is 426972645131. The reversal of 426972645120 is 21546279624.

It is an interprime number because it is at equal distance from previous prime (426972645109) and next prime (426972645131).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 426972645120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131253414 + ... + 131256666.

It is an arithmetic number, because the mean of its divisors is an integer number (2860005680).

Almost surely, 2^426972645120 is an apocalyptic number.

426972645120 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 426972645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823681635840).

426972645120 is an abundant number, since it is smaller than the sum of its proper divisors (1220390626560).

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

426972645120 is a wasteful number, since it uses less digits than its factorization.

426972645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 426972645120 in words is "four hundred twenty-six billion, nine hundred seventy-two million, six hundred forty-five thousand, one hundred twenty".