22400431020 has 288 divisors, whose sum is σ = 75216960000. Its totient is φ = 5351132160.

The previous prime is 22400431003. The next prime is 22400431049. The reversal of 22400431020 is 2013400422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22400430984 and 22400431002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54768576 + ... + 54768984.

It is an arithmetic number, because the mean of its divisors is an integer number (261170000).

Almost surely, 2^22400431020 is an apocalyptic number.

22400431020 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 22400431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608480000).

22400431020 is an abundant number, since it is smaller than the sum of its proper divisors (52816528980).

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

22400431020 is a wasteful number, since it uses less digits than its factorization.

22400431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22400431020 its reverse (2013400422), we get a palindrome (24413831442).

The spelling of 22400431020 in words is "twenty-two billion, four hundred million, four hundred thirty-one thousand, twenty".