423214154400000 has 864 divisors, whose sum is σ = 1426025285790336. Its totient is φ = 111410790400000.

The previous prime is 423214154399947. The next prime is 423214154400007. The reversal of 423214154400000 is 4451412324.

It is a super-2 number, since 2×423214154400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (423214154400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61936796584 + ... + 61936803416.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492228924).

Almost surely, 2^{423214154400000} is an apocalyptic number.

423214154400000 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 423214154400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713012642895168).

423214154400000 is an abundant number, since it is smaller than the sum of its proper divisors (1002811131390336).

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

423214154400000 is an equidigital number, since it uses as much as digits as its factorization.

423214154400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205 (or 7171 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 423214154400000 in words is "four hundred twenty-three trillion, two hundred fourteen billion, one hundred fifty-four million, four hundred thousand".