22012885440 has 1008 divisors, whose sum is σ = 96757053120. Its totient is φ = 4579061760.

The previous prime is 22012885439. The next prime is 22012885463. The reversal of 22012885440 is 4458821022.

22012885440 is a `hidden beast` number, since 2 + 20 + 12 + 88 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 22012885395 and 22012885404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 310040605 + ... + 310040675.

It is an arithmetic number, because the mean of its divisors is an integer number (95989140).

Almost surely, 2^22012885440 is an apocalyptic number.

22012885440 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 22012885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48378526560).

22012885440 is an abundant number, since it is smaller than the sum of its proper divisors (74744167680).

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

22012885440 is a wasteful number, since it uses less digits than its factorization.

22012885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 22012885440 in words is "twenty-two billion, twelve million, eight hundred eighty-five thousand, four hundred forty".