22441406400 has 840 divisors, whose sum is σ = 97638229920. Its totient is φ = 4946780160.

The previous prime is 22441406297. The next prime is 22441406401. The reversal of 22441406400 is 460414422.

It is a happy number.

22441406400 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 14 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22441406401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26308374 + ... + 26309226.

It is an arithmetic number, because the mean of its divisors is an integer number (116235988).

Almost surely, 2^22441406400 is an apocalyptic number.

22441406400 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 22441406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48819114960).

22441406400 is an abundant number, since it is smaller than the sum of its proper divisors (75196823520).

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

22441406400 is a wasteful number, since it uses less digits than its factorization.

22441406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 22441406400 in words is "twenty-two billion, four hundred forty-one million, four hundred six thousand, four hundred".