22385140034400 has 1728 divisors, whose sum is σ = 100283407451136. Its totient is φ = 4614119424000.

The previous prime is 22385140034377. The next prime is 22385140034407. The reversal of 22385140034400 is 443004158322.

22385140034400 is a `hidden beast` number, since 2 + 2 + 3 + 85 + 140 + 0 + 34 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22385140034407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 822636795 + ... + 822664005.

It is an arithmetic number, because the mean of its divisors is an integer number (58034379312).

Almost surely, 2^{22385140034400} is an apocalyptic number.

22385140034400 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 22385140034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50141703725568).

22385140034400 is an abundant number, since it is smaller than the sum of its proper divisors (77898267416736).

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

22385140034400 is a wasteful number, since it uses less digits than its factorization.

22385140034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27325 (or 27309 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22385140034400 in words is "twenty-two trillion, three hundred eighty-five billion, one hundred forty million, thirty-four thousand, four hundred".