426204979200 has 3024 divisors, whose sum is σ = 2156103719280. Its totient is φ = 81749606400.

The previous prime is 426204979177. The next prime is 426204979259. The reversal of 426204979200 is 2979402624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3024).

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 215 ways as a sum of consecutive naturals, for example, 32784998394 + ... + 32784998406.

Almost surely, 2^426204979200 is an apocalyptic number.

426204979200 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 426204979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078051859640).

426204979200 is an abundant number, since it is smaller than the sum of its proper divisors (1729898740080).

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

426204979200 is a wasteful number, since it uses less digits than its factorization.

426204979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 426204979200 in words is "four hundred twenty-six billion, two hundred four million, nine hundred seventy-nine thousand, two hundred".