20414412480 has 448 divisors, whose sum is σ = 81182333952. Its totient is φ = 4222402560.

The previous prime is 20414412433. The next prime is 20414412493. The reversal of 20414412480 is 8421441402.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 20475342 + ... + 20476338.

Almost surely, 2^20414412480 is an apocalyptic number.

20414412480 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 20414412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40591166976).

20414412480 is an abundant number, since it is smaller than the sum of its proper divisors (60767921472).

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

20414412480 is a wasteful number, since it uses less digits than its factorization.

20414412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 20414412480 its reverse (8421441402), we get a palindrome (28835853882).

The spelling of 20414412480 in words is "twenty billion, four hundred fourteen million, four hundred twelve thousand, four hundred eighty".