426981609600 has 1728 divisors, whose sum is σ = 1828567651680. Its totient is φ = 87220224000.

The previous prime is 426981609581. The next prime is 426981609619. The reversal of 426981609600 is 6906189624.

It is an interprime number because it is at equal distance from previous prime (426981609581) and next prime (426981609619).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3259401535 + ... + 3259401665.

Almost surely, 2^426981609600 is an apocalyptic number.

426981609600 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 426981609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914283825840).

426981609600 is an abundant number, since it is smaller than the sum of its proper divisors (1401586042080).

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

426981609600 is a wasteful number, since it uses less digits than its factorization.

426981609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 426981609600 in words is "four hundred twenty-six billion, nine hundred eighty-one million, six hundred nine thousand, six hundred".