432644416512 has 704 divisors, whose sum is σ = 1482486528000. Its totient is φ = 111198044160.

The previous prime is 432644416511. The next prime is 432644416577. The reversal of 432644416512 is 215614446234.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×432644416512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (432644416511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1889276814 + ... + 1889277042.

Almost surely, 2^432644416512 is an apocalyptic number.

432644416512 is a gapful number since it is divisible by the number (42) 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 432644416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741243264000).

432644416512 is an abundant number, since it is smaller than the sum of its proper divisors (1049842111488).

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

432644416512 is a wasteful number, since it uses less digits than its factorization.

432644416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 415 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 432644416512 in words is "four hundred thirty-two billion, six hundred forty-four million, four hundred sixteen thousand, five hundred twelve".