432001011124320 has 192 divisors, whose sum is σ = 1524634527419136. Its totient is φ = 101897044346880.

The previous prime is 432001011124247. The next prime is 432001011124337. The reversal of 432001011124320 is 23421110100234.

It is a super-2 number, since 2×432001011124320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105458334 + ... + 1105849053.

It is an arithmetic number, because the mean of its divisors is an integer number (7940804830308).

Almost surely, 2^{432001011124320} is an apocalyptic number.

432001011124320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432001011124320 is an abundant number, since it is smaller than the sum of its proper divisors (1092633516294816).

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

432001011124320 is a wasteful number, since it uses less digits than its factorization.

432001011124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211307453 (or 2211307445 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 432001011124320 its reverse (23421110100234), we get a palindrome (455422121224554).

The spelling of 432001011124320 in words is "four hundred thirty-two trillion, one billion, eleven million, one hundred twenty-four thousand, three hundred twenty".