20432415456 has 192 divisors, whose sum is σ = 61660569600. Its totient is φ = 6575731200.

The previous prime is 20432415449. The next prime is 20432415461. The reversal of 20432415456 is 65451423402.

20432415456 is a `hidden beast` number, since 20 + 432 + 4 + 154 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20432415456.

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, 19257166 + ... + 19258226.

It is an arithmetic number, because the mean of its divisors is an integer number (321148800).

Almost surely, 2^20432415456 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 20432415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30830284800).

20432415456 is an abundant number, since it is smaller than the sum of its proper divisors (41228154144).

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

20432415456 is a wasteful number, since it uses less digits than its factorization.

20432415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20432415456 its reverse (65451423402), we get a palindrome (85883838858).

The spelling of 20432415456 in words is "twenty billion, four hundred thirty-two million, four hundred fifteen thousand, four hundred fifty-six".