20412344040 has 256 divisors, whose sum is σ = 70988037120. Its totient is φ = 4640624640.

The previous prime is 20412343951. The next prime is 20412344077. The reversal of 20412344040 is 4044321402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20412344040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6887599 + ... + 6890561.

It is an arithmetic number, because the mean of its divisors is an integer number (277297020).

Almost surely, 2^20412344040 is an apocalyptic number.

20412344040 is a gapful number since it is divisible by the number (20) 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 20412344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35494018560).

20412344040 is an abundant number, since it is smaller than the sum of its proper divisors (50575693080).

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

20412344040 is a wasteful number, since it uses less digits than its factorization.

20412344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20412344040 its reverse (4044321402), we get a palindrome (24456665442).

The spelling of 20412344040 in words is "twenty billion, four hundred twelve million, three hundred forty-four thousand, forty".