22040446440 has 192 divisors, whose sum is σ = 70436096640. Its totient is φ = 5514995200.

The previous prime is 22040446411. The next prime is 22040446459. The reversal of 22040446440 is 4464404022.

It is a super-3 number, since 3×22040446440³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22040446398 and 22040446407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3361165 + ... + 3367715.

It is an arithmetic number, because the mean of its divisors is an integer number (366854670).

Almost surely, 2^22040446440 is an apocalyptic number.

22040446440 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 22040446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35218048320).

22040446440 is an abundant number, since it is smaller than the sum of its proper divisors (48395650200).

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

22040446440 is a wasteful number, since it uses less digits than its factorization.

22040446440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 22040446440 in words is "twenty-two billion, forty million, four hundred forty-six thousand, four hundred forty".