426502878397200 has 3840 divisors, whose sum is σ = 1898194507776000. Its totient is φ = 89691291648000.

The previous prime is 426502878397163. The next prime is 426502878397223. The reversal of 426502878397200 is 2793878205624.

426502878397200 is a `hidden beast` number, since 4 + 2 + 6 + 502 + 8 + 78 + 39 + 7 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 112861304911 + ... + 112861308689.

It is an arithmetic number, because the mean of its divisors is an integer number (494321486400).

Almost surely, 2^{426502878397200} is an apocalyptic number.

426502878397200 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 426502878397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949097253888000).

426502878397200 is an abundant number, since it is smaller than the sum of its proper divisors (1471691629378800).

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

426502878397200 is a wasteful number, since it uses less digits than its factorization.

426502878397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 426502878397200 in words is "four hundred twenty-six trillion, five hundred two billion, eight hundred seventy-eight million, three hundred ninety-seven thousand, two hundred".