22042027276704 has 144 divisors (see below), whose sum is σ = 63754898407200. Its totient is φ = 7221624150528.

The previous prime is 22042027276699. The next prime is 22042027276727. The reversal of 22042027276704 is 40767272024022.

22042027276704 is a `hidden beast` number, since 2 + 20 + 420 + 2 + 72 + 76 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×22042027276704² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22042027276704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106419387 + ... + 106626309.

It is an arithmetic number, because the mean of its divisors is an integer number (442742350050).

Almost surely, 2^{22042027276704} is an apocalyptic number.

22042027276704 is a gapful number since it is divisible by the number (24) 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 22042027276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31877449203600).

22042027276704 is an abundant number, since it is smaller than the sum of its proper divisors (41712871130496).

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

22042027276704 is a wasteful number, since it uses less digits than its factorization.

22042027276704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213267 (or 213256 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 22042027276704 in words is "twenty-two trillion, forty-two billion, twenty-seven million, two hundred seventy-six thousand, seven hundred four".