426802196520 has 1536 divisors, whose sum is σ = 1853161390080. Its totient is φ = 86056058880.

The previous prime is 426802196507. The next prime is 426802196531. The reversal of 426802196520 is 25691208624.

426802196520 is a `hidden beast` number, since 4 + 26 + 80 + 21 + 9 + 6 + 520 = 666.

It is a super-2 number, since 2×426802196520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1622821909 + ... + 1622822171.

It is an arithmetic number, because the mean of its divisors is an integer number (1206485280).

Almost surely, 2^426802196520 is an apocalyptic number.

426802196520 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 426802196520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926580695040).

426802196520 is an abundant number, since it is smaller than the sum of its proper divisors (1426359193560).

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

426802196520 is a wasteful number, since it uses less digits than its factorization.

426802196520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 426802196520 in words is "four hundred twenty-six billion, eight hundred two million, one hundred ninety-six thousand, five hundred twenty".