22305505440 has 96 divisors (see below), whose sum is σ = 72685226880. Its totient is φ = 5743023104.

The previous prime is 22305505421. The next prime is 22305505447. The reversal of 22305505440 is 4450550322.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 22305505398 and 22305505407.

It is not an unprimeable number, because it can be changed into a prime (22305505447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787284 + ... + 815123.

It is an arithmetic number, because the mean of its divisors is an integer number (757137780).

Almost surely, 2^22305505440 is an apocalyptic number.

22305505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22305505440 is an abundant number, since it is smaller than the sum of its proper divisors (50379721440).

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

22305505440 is a wasteful number, since it uses less digits than its factorization.

22305505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602454 (or 1602446 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 22305505440 in words is "twenty-two billion, three hundred five million, five hundred five thousand, four hundred forty".