20412340480 has 144 divisors (see below), whose sum is σ = 55979763840. Its totient is φ = 6985875456.

The previous prime is 20412340477. The next prime is 20412340493. The reversal of 20412340480 is 8404321402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5902912 + ... + 5906368.

It is an arithmetic number, because the mean of its divisors is an integer number (388748360).

Almost surely, 2^20412340480 is an apocalyptic number.

20412340480 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 20412340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989881920).

20412340480 is an abundant number, since it is smaller than the sum of its proper divisors (35567423360).

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

20412340480 is an equidigital number, since it uses as much as digits as its factorization.

20412340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20412340480 its reverse (8404321402), we get a palindrome (28816661882).

The spelling of 20412340480 in words is "twenty billion, four hundred twelve million, three hundred forty thousand, four hundred eighty".