22449133440 has 384 divisors, whose sum is σ = 82883062080. Its totient is φ = 5585141760.

The previous prime is 22449133411. The next prime is 22449133451. The reversal of 22449133440 is 4433194422.

22449133440 is a `hidden beast` number, since 224 + 4 + 91 + 3 + 344 + 0 = 666.

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

It is a super-3 number, since 3×22449133440³ (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 = 22449133395 and 22449133404.

It is a congruent number.

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, 5429614 + ... + 5433746.

Almost surely, 2^22449133440 is an apocalyptic number.

22449133440 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 22449133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41441531040).

22449133440 is an abundant number, since it is smaller than the sum of its proper divisors (60433928640).

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

22449133440 is a wasteful number, since it uses less digits than its factorization.

22449133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22449133440 in words is "twenty-two billion, four hundred forty-nine million, one hundred thirty-three thousand, four hundred forty".