426760265400 has 576 divisors, whose sum is σ = 1619917390080. Its totient is φ = 91010304000.

The previous prime is 426760265389. The next prime is 426760265411. The reversal of 426760265400 is 4562067624.

It is an interprime number because it is at equal distance from previous prime (426760265389) and next prime (426760265411).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101583300 + ... + 101587500.

It is an arithmetic number, because the mean of its divisors is an integer number (2812356580).

Almost surely, 2^426760265400 is an apocalyptic number.

426760265400 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 426760265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809958695040).

426760265400 is an abundant number, since it is smaller than the sum of its proper divisors (1193157124680).

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

426760265400 is a wasteful number, since it uses less digits than its factorization.

426760265400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 426760265400 in words is "four hundred twenty-six billion, seven hundred sixty million, two hundred sixty-five thousand, four hundred".