22934610397440 has 1440 divisors, whose sum is σ = 99151202304000. Its totient is φ = 4944801447936.

The previous prime is 22934610397411. The next prime is 22934610397451. The reversal of 22934610397440 is 4479301643922.

22934610397440 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 4 + 6 + 103 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 3295672681 + ... + 3295679639.

It is an arithmetic number, because the mean of its divisors is an integer number (68855001600).

Almost surely, 2^{22934610397440} is an apocalyptic number.

22934610397440 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 22934610397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49575601152000).

22934610397440 is an abundant number, since it is smaller than the sum of its proper divisors (76216591906560).

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

22934610397440 is a wasteful number, since it uses less digits than its factorization.

22934610397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 22934610397440 in words is "twenty-two trillion, nine hundred thirty-four billion, six hundred ten million, three hundred ninety-seven thousand, four hundred forty".