432100161462420 has 1152 divisors, whose sum is σ = 1555511777164800. Its totient is φ = 95977709568000.

The previous prime is 432100161462407. The next prime is 432100161462451. The reversal of 432100161462420 is 24264161001234.

432100161462420 is a `hidden beast` number, since 4 + 3 + 2 + 1 + 0 + 0 + 1 + 6 + 1 + 4 + 624 + 20 = 666.

It is a super-2 number, since 2×432100161462420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46921502776 + ... + 46921511984.

It is an arithmetic number, because the mean of its divisors is an integer number (1350270639900).

Almost surely, 2^{432100161462420} 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 432100161462420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777755888582400).

432100161462420 is an abundant number, since it is smaller than the sum of its proper divisors (1123411615702380).

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

432100161462420 is a wasteful number, since it uses less digits than its factorization.

432100161462420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 432100161462420 in words is "four hundred thirty-two trillion, one hundred billion, one hundred sixty-one million, four hundred sixty-two thousand, four hundred twenty".