423251392166400 has 720 divisors, whose sum is σ = 1654027089374880. Its totient is φ = 95103435571200.

The previous prime is 423251392166399. The next prime is 423251392166401. The reversal of 423251392166400 is 4661293152324.

It is an interprime number because it is at equal distance from previous prime (423251392166399) and next prime (423251392166401).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 423251392166400.

It is not an unprimeable number, because it can be changed into a prime (423251392166401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109108110 + ... + 112920690.

It is an arithmetic number, because the mean of its divisors is an integer number (2297259846354).

Almost surely, 2^{423251392166400} is an apocalyptic number.

423251392166400 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 423251392166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827013544687440).

423251392166400 is an abundant number, since it is smaller than the sum of its proper divisors (1230775697208480).

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

423251392166400 is a wasteful number, since it uses less digits than its factorization.

423251392166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812685 (or 3812657 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 423251392166400 in words is "four hundred twenty-three trillion, two hundred fifty-one billion, three hundred ninety-two million, one hundred sixty-six thousand, four hundred".