22018843440 has 320 divisors, whose sum is σ = 83400376320. Its totient is φ = 5295144960.

The previous prime is 22018843439. The next prime is 22018843459. The reversal of 22018843440 is 4434881022.

22018843440 is a `hidden beast` number, since 2 + 2 + 0 + 188 + 434 + 40 = 666.

It is a super-3 number, since 3×22018843440³ (a number of 32 digits) contains 333 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 = 22018843395 and 22018843404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3013872 + ... + 3021168.

It is an arithmetic number, because the mean of its divisors is an integer number (260626176).

Almost surely, 2^22018843440 is an apocalyptic number.

22018843440 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 22018843440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41700188160).

22018843440 is an abundant number, since it is smaller than the sum of its proper divisors (61381532880).

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

22018843440 is a wasteful number, since it uses less digits than its factorization.

22018843440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22018843440 in words is "twenty-two billion, eighteen million, eight hundred forty-three thousand, four hundred forty".