20412138624 has 128 divisors (see below), whose sum is σ = 56670122880. Its totient is φ = 6497525760.

The previous prime is 20412138611. The next prime is 20412138701. The reversal of 20412138624 is 42683121402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20412138624² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6719634 + ... + 6722670.

It is an arithmetic number, because the mean of its divisors is an integer number (442735335).

Almost surely, 2^20412138624 is an apocalyptic number.

20412138624 is a gapful number since it is divisible by the number (24) 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 20412138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335061440).

20412138624 is an abundant number, since it is smaller than the sum of its proper divisors (36257984256).

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

20412138624 is a wasteful number, since it uses less digits than its factorization.

20412138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 20412138624 in words is "twenty billion, four hundred twelve million, one hundred thirty-eight thousand, six hundred twenty-four".