426531788800 has 576 divisors, whose sum is σ = 1181587811040. Its totient is φ = 151718461440.

The previous prime is 426531788779. The next prime is 426531788803. The reversal of 426531788800 is 8887135624.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426531788803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3774617544 + ... + 3774617656.

Almost surely, 2^426531788800 is an apocalyptic number.

426531788800 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 426531788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590793905520).

426531788800 is an abundant number, since it is smaller than the sum of its proper divisors (755056022240).

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

426531788800 is a wasteful number, since it uses less digits than its factorization.

426531788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 426531788800 in words is "four hundred twenty-six billion, five hundred thirty-one million, seven hundred eighty-eight thousand, eight hundred".