22401519840 has 768 divisors, whose sum is σ = 95374540800. Its totient is φ = 4796983296.

The previous prime is 22401519823. The next prime is 22401519937. The reversal of 22401519840 is 4891510422.

22401519840 is a `hidden beast` number, since 22 + 40 + 1 + 519 + 84 + 0 = 666.

It is a super-2 number, since 2×22401519840² (a number of 22 digits) contains 22 as substring.

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 = 22401519795 and 22401519804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72968967 + ... + 72969273.

It is an arithmetic number, because the mean of its divisors is an integer number (124185600).

Almost surely, 2^22401519840 is an apocalyptic number.

22401519840 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 22401519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47687270400).

22401519840 is an abundant number, since it is smaller than the sum of its proper divisors (72973020960).

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

22401519840 is a wasteful number, since it uses less digits than its factorization.

22401519840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 22401519840 in words is "twenty-two billion, four hundred one million, five hundred nineteen thousand, eight hundred forty".