22291304423040 has 1024 divisors, whose sum is σ = 82556724096000. Its totient is φ = 5677473005568.

The previous prime is 22291304422999. The next prime is 22291304423071. The reversal of 22291304423040 is 4032440319222.

22291304423040 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 1 + 304 + 42 + 304 + 0 = 666.

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 = 22291304422986 and 22291304423004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23052020637 + ... + 23052021603.

It is an arithmetic number, because the mean of its divisors is an integer number (80621800875).

Almost surely, 2^{22291304423040} is an apocalyptic number.

22291304423040 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 22291304423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41278362048000).

22291304423040 is an abundant number, since it is smaller than the sum of its proper divisors (60265419672960).

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

22291304423040 is a wasteful number, since it uses less digits than its factorization.

22291304423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1456 counting only the distinct ones).

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

The spelling of 22291304423040 in words is "twenty-two trillion, two hundred ninety-one billion, three hundred four million, four hundred twenty-three thousand, forty".