22261945919040 has 448 divisors, whose sum is σ = 82685227161600. Its totient is φ = 5622941472768.

The previous prime is 22261945919033. The next prime is 22261945919053. The reversal of 22261945919040 is 4091954916222.

22261945919040 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 1 + 9 + 4 + 591 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×22261945919040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077371749 + ... + 1077392411.

It is an arithmetic number, because the mean of its divisors is an integer number (184565239200).

Almost surely, 2^{22261945919040} is an apocalyptic number.

22261945919040 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 22261945919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41342613580800).

22261945919040 is an abundant number, since it is smaller than the sum of its proper divisors (60423281242560).

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

22261945919040 is a wasteful number, since it uses less digits than its factorization.

22261945919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27271 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 22261945919040 in words is "twenty-two trillion, two hundred sixty-one billion, nine hundred forty-five million, nine hundred nineteen thousand, forty".