22464973440 has 384 divisors, whose sum is σ = 95478364800. Its totient is φ = 4739751936.

The previous prime is 22464973429. The next prime is 22464973463. The reversal of 22464973440 is 4437946422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 502731 + ... + 545589.

It is an arithmetic number, because the mean of its divisors is an integer number (248641575).

Almost surely, 2^22464973440 is an apocalyptic number.

22464973440 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 22464973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47739182400).

22464973440 is an abundant number, since it is smaller than the sum of its proper divisors (73013391360).

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

22464973440 is a wasteful number, since it uses less digits than its factorization.

22464973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42904 (or 42889 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 22464973440 in words is "twenty-two billion, four hundred sixty-four million, nine hundred seventy-three thousand, four hundred forty".