22442940000 has 960 divisors, whose sum is σ = 92580364800. Its totient is φ = 5246208000.

The previous prime is 22442939993. The next prime is 22442940083. The reversal of 22442940000 is 4924422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 161459931 + ... + 161460069.

It is an arithmetic number, because the mean of its divisors is an integer number (96437880).

Almost surely, 2^22442940000 is an apocalyptic number.

22442940000 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 22442940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46290182400).

22442940000 is an abundant number, since it is smaller than the sum of its proper divisors (70137424800).

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

22442940000 is a wasteful number, since it uses less digits than its factorization.

22442940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22442940000 in words is "twenty-two billion, four hundred forty-two million, nine hundred forty thousand".