22629904440 has 384 divisors, whose sum is σ = 81560494080. Its totient is φ = 4978022400.

The previous prime is 22629904411. The next prime is 22629904441. The reversal of 22629904440 is 4440992622.

It is a super-2 number, since 2×22629904440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22629904392 and 22629904401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22629904441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607049 + ... + 13608711.

It is an arithmetic number, because the mean of its divisors is an integer number (212397120).

Almost surely, 2^22629904440 is an apocalyptic number.

22629904440 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 22629904440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40780247040).

22629904440 is an abundant number, since it is smaller than the sum of its proper divisors (58930589640).

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

22629904440 is a wasteful number, since it uses less digits than its factorization.

22629904440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 22629904440 in words is "twenty-two billion, six hundred twenty-nine million, nine hundred four thousand, four hundred forty".