423984093120 has 560 divisors, whose sum is σ = 1739829611520. Its totient is φ = 96000546816.

The previous prime is 423984093119. The next prime is 423984093151. The reversal of 423984093120 is 21390489324.

423984093120 is a `hidden beast` number, since 4 + 239 + 8 + 409 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×423984093120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19403161 + ... + 19424999.

It is an arithmetic number, because the mean of its divisors is an integer number (3106838592).

Almost surely, 2^423984093120 is an apocalyptic number.

423984093120 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 423984093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869914805760).

423984093120 is an abundant number, since it is smaller than the sum of its proper divisors (1315845518400).

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

423984093120 is a wasteful number, since it uses less digits than its factorization.

423984093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21982 (or 21963 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 423984093120 in words is "four hundred twenty-three billion, nine hundred eighty-four million, ninety-three thousand, one hundred twenty".