20414408640 has 224 divisors, whose sum is σ = 69681669120. Its totient is φ = 5047382016.

The previous prime is 20414408633. The next prime is 20414408647. The reversal of 20414408640 is 4680441402.

It is a Cunningham number, because it is equal to 142879²-1.

It is an interprime number because it is at equal distance from previous prime (20414408633) and next prime (20414408647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414408647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845374 + ... + 869186.

It is an arithmetic number, because the mean of its divisors is an integer number (311078880).

Almost surely, 2^20414408640 is an apocalyptic number.

20414408640 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 20414408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34840834560).

20414408640 is an abundant number, since it is smaller than the sum of its proper divisors (49267260480).

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

20414408640 is a wasteful number, since it uses less digits than its factorization.

20414408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23899 (or 23889 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 20414408640 in words is "twenty billion, four hundred fourteen million, four hundred eight thousand, six hundred forty".