426323249520 has 240 divisors, whose sum is σ = 1546267773600. Its totient is φ = 96881584128.

The previous prime is 426323249507. The next prime is 426323249533. The reversal of 426323249520 is 25942323624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426323249507) and next prime (426323249533).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1929706 + ... + 2139254.

It is an arithmetic number, because the mean of its divisors is an integer number (6442782390).

Almost surely, 2^426323249520 is an apocalyptic number.

426323249520 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 426323249520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773133886800).

426323249520 is an abundant number, since it is smaller than the sum of its proper divisors (1119944524080).

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

426323249520 is a wasteful number, since it uses less digits than its factorization.

426323249520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209752 (or 209739 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 426323249520 in words is "four hundred twenty-six billion, three hundred twenty-three million, two hundred forty-nine thousand, five hundred twenty".