22124759040 has 384 divisors, whose sum is σ = 80518838400. Its totient is φ = 5759631360.

The previous prime is 22124759009. The next prime is 22124759047. The reversal of 22124759040 is 4095742122.

22124759040 is a `hidden beast` number, since 2 + 2 + 1 + 24 + 7 + 590 + 40 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 22124758986 and 22124759004.

It is not an unprimeable number, because it can be changed into a prime (22124759047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11887710 + ... + 11889570.

It is an arithmetic number, because the mean of its divisors is an integer number (209684475).

Almost surely, 2^22124759040 is an apocalyptic number.

22124759040 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 22124759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40259419200).

22124759040 is an abundant number, since it is smaller than the sum of its proper divisors (58394079360).

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

22124759040 is a wasteful number, since it uses less digits than its factorization.

22124759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22124759040 in words is "twenty-two billion, one hundred twenty-four million, seven hundred fifty-nine thousand, forty".