423954507122400 has 288 divisors, whose sum is σ = 1380776468400000. Its totient is φ = 112988646144000.

The previous prime is 423954507122381. The next prime is 423954507122401. The reversal of 423954507122400 is 4221705459324.

It is a super-2 number, since 2×423954507122400² (a number of 30 digits) contains 22 as substring.

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 423954507122400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423954507122401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42819357450 + ... + 42819367350.

It is an arithmetic number, because the mean of its divisors is an integer number (4794362737500).

Almost surely, 2^{423954507122400} is an apocalyptic number.

423954507122400 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 423954507122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690388234200000).

423954507122400 is an abundant number, since it is smaller than the sum of its proper divisors (956821961277600).

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

423954507122400 is a wasteful number, since it uses less digits than its factorization.

423954507122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18522 (or 18509 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 423954507122400 in words is "four hundred twenty-three trillion, nine hundred fifty-four billion, five hundred seven million, one hundred twenty-two thousand, four hundred".