22461479040 has 1536 divisors, whose sum is σ = 103215513600. Its totient is φ = 4025548800.

The previous prime is 22461479039. The next prime is 22461479057. The reversal of 22461479040 is 4097416422.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 22461479040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 724563825 + ... + 724563855.

It is an arithmetic number, because the mean of its divisors is an integer number (67197600).

Almost surely, 2^22461479040 is an apocalyptic number.

22461479040 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 22461479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51607756800).

22461479040 is an abundant number, since it is smaller than the sum of its proper divisors (80754034560).

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

22461479040 is a wasteful number, since it uses less digits than its factorization.

22461479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

It can be divided in two parts, 22461 and 479040, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 22461479040 in words is "twenty-two billion, four hundred sixty-one million, four hundred seventy-nine thousand, forty".