22041296640 has 576 divisors, whose sum is σ = 87688581120. Its totient is φ = 5195612160.

The previous prime is 22041296623. The next prime is 22041296657. The reversal of 22041296640 is 4669214022.

22041296640 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 1 + 2 + 9 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (22041296623) and next prime (22041296657).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22041296595 and 22041296604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14065137 + ... + 14066703.

It is an arithmetic number, because the mean of its divisors is an integer number (152237120).

Almost surely, 2^22041296640 is an apocalyptic number.

22041296640 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 22041296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43844290560).

22041296640 is an abundant number, since it is smaller than the sum of its proper divisors (65647284480).

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

22041296640 is a wasteful number, since it uses less digits than its factorization.

22041296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22041296640 in words is "twenty-two billion, forty-one million, two hundred ninety-six thousand, six hundred forty".