426748093920 has 192 divisors, whose sum is σ = 1494461767680. Its totient is φ = 113735232000.

The previous prime is 426748093907. The next prime is 426748093963. The reversal of 426748093920 is 29390847624.

426748093920 is a `hidden beast` number, since 426 + 7 + 48 + 0 + 93 + 92 + 0 = 666.

It is a super-2 number, since 2×426748093920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7882945 + ... + 7936895.

It is an arithmetic number, because the mean of its divisors is an integer number (7783655040).

Almost surely, 2^426748093920 is an apocalyptic number.

426748093920 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 426748093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747230883840).

426748093920 is an abundant number, since it is smaller than the sum of its proper divisors (1067713673760).

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

426748093920 is a wasteful number, since it uses less digits than its factorization.

426748093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55806 (or 55792 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 426748093920 in words is "four hundred twenty-six billion, seven hundred forty-eight million, ninety-three thousand, nine hundred twenty".