426320949600 has 2016 divisors, whose sum is σ = 1993914256320. Its totient is φ = 86533816320.

The previous prime is 426320949583. The next prime is 426320949679. The reversal of 426320949600 is 6949023624.

426320949600 is a `hidden beast` number, since 4 + 2 + 6 + 32 + 0 + 9 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1539064662 + ... + 1539064938.

It is an arithmetic number, because the mean of its divisors is an integer number (989044770).

Almost surely, 2^426320949600 is an apocalyptic number.

426320949600 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 426320949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996957128160).

426320949600 is an abundant number, since it is smaller than the sum of its proper divisors (1567593306720).

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

426320949600 is a wasteful number, since it uses less digits than its factorization.

426320949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 426320949600 in words is "four hundred twenty-six billion, three hundred twenty million, nine hundred forty-nine thousand, six hundred".