426122174400 has 504 divisors, whose sum is σ = 1528009857360. Its totient is φ = 103338639360.

The previous prime is 426122174377. The next prime is 426122174411. The reversal of 426122174400 is 4471221624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1538347062 + ... + 1538347338.

It is an arithmetic number, because the mean of its divisors is an integer number (3031765590).

Almost surely, 2^426122174400 is an apocalyptic number.

426122174400 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 426122174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764004928680).

426122174400 is an abundant number, since it is smaller than the sum of its proper divisors (1101887682960).

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

426122174400 is a wasteful number, since it uses less digits than its factorization.

426122174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 426122174400 in words is "four hundred twenty-six billion, one hundred twenty-two million, one hundred seventy-four thousand, four hundred".