20422514400 has 144 divisors (see below), whose sum is σ = 66999711744. Its totient is φ = 5403041280.

The previous prime is 20422514377. The next prime is 20422514423. The reversal of 20422514400 is 441522402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20422514377) and next prime (20422514423).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271299 + ... + 338301.

It is an arithmetic number, because the mean of its divisors is an integer number (465275776).

Almost surely, 2^20422514400 is an apocalyptic number.

20422514400 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 20422514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33499855872).

20422514400 is an abundant number, since it is smaller than the sum of its proper divisors (46577197344).

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

20422514400 is a wasteful number, since it uses less digits than its factorization.

20422514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67153 (or 67140 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 20422514400 in words is "twenty billion, four hundred twenty-two million, five hundred fourteen thousand, four hundred".