20401414440 has 64 divisors (see below), whose sum is σ = 66768269760. Its totient is φ = 4945797120.

The previous prime is 20401414373. The next prime is 20401414447. The reversal of 20401414440 is 4441410402.

It is a happy number.

It is a super-2 number, since 2×20401414440² (a number of 21 digits) contains 22 as substring.

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 20401414440.

It is not an unprimeable number, because it can be changed into a prime (20401414447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7726489 + ... + 7729128.

It is an arithmetic number, because the mean of its divisors is an integer number (1043254215).

Almost surely, 2^20401414440 is an apocalyptic number.

20401414440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401414440 is an abundant number, since it is smaller than the sum of its proper divisors (46366855320).

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

20401414440 is a wasteful number, since it uses less digits than its factorization.

20401414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15455642 (or 15455638 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20401414440 its reverse (4441410402), we get a palindrome (24842824842).

The spelling of 20401414440 in words is "twenty billion, four hundred one million, four hundred fourteen thousand, four hundred forty".