22401010944 has 288 divisors, whose sum is σ = 75099830400. Its totient is φ = 6529351680.

The previous prime is 22401010943. The next prime is 22401010981. The reversal of 22401010944 is 44901010422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22401010944² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (22401010943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1700704 + ... + 1713824.

It is an arithmetic number, because the mean of its divisors is an integer number (260763300).

Almost surely, 2^22401010944 is an apocalyptic number.

22401010944 is a gapful number since it is divisible by the number (24) 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 22401010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37549915200).

22401010944 is an abundant number, since it is smaller than the sum of its proper divisors (52698819456).

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

22401010944 is a wasteful number, since it uses less digits than its factorization.

22401010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13178 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 22401010944 in words is "twenty-two billion, four hundred one million, ten thousand, nine hundred forty-four".