426046874400 has 432 divisors, whose sum is σ = 1729529553024. Its totient is φ = 96669757440.

The previous prime is 426046874371. The next prime is 426046874411. The reversal of 426046874400 is 4478640624.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 6873949 + ... + 6935651.

It is an arithmetic number, because the mean of its divisors is an integer number (4003540632).

Almost surely, 2^426046874400 is an apocalyptic number.

426046874400 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 426046874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864764776512).

426046874400 is an abundant number, since it is smaller than the sum of its proper divisors (1303482678624).

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

426046874400 is a wasteful number, since it uses less digits than its factorization.

426046874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61873 (or 61857 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 426046874400 in words is "four hundred twenty-six billion, forty-six million, eight hundred seventy-four thousand, four hundred".