432461142630456 has 128 divisors (see below), whose sum is σ = 1205234316000000. Its totient is φ = 128508358367232.

The previous prime is 432461142630427. The next prime is 432461142630467. The reversal of 432461142630456 is 654036241164234.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 432461142630399 and 432461142630408.

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, 34480170 + ... + 45318918.

It is an arithmetic number, because the mean of its divisors is an integer number (9415893093750).

Almost surely, 2^{432461142630456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432461142630456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602617158000000).

432461142630456 is an abundant number, since it is smaller than the sum of its proper divisors (772773173369544).

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

432461142630456 is a wasteful number, since it uses less digits than its factorization.

432461142630456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10843941 (or 10843937 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 432461142630456 in words is "four hundred thirty-two trillion, four hundred sixty-one billion, one hundred forty-two million, six hundred thirty thousand, four hundred fifty-six".