22469990400 has 1296 divisors, whose sum is σ = 98330581440. Its totient is φ = 4866048000.

The previous prime is 22469990383. The next prime is 22469990401. The reversal of 22469990400 is 409996422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22469990401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 724838385 + ... + 724838415.

Almost surely, 2^22469990400 is an apocalyptic number.

22469990400 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 22469990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49165290720).

22469990400 is an abundant number, since it is smaller than the sum of its proper divisors (75860591040).

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

22469990400 is a wasteful number, since it uses less digits than its factorization.

22469990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 22469990400 in words is "twenty-two billion, four hundred sixty-nine million, nine hundred ninety thousand, four hundred".