22352340014400 has 672 divisors, whose sum is σ = 81914437997568. Its totient is φ = 5289313075200.

The previous prime is 22352340014383. The next prime is 22352340014423. The reversal of 22352340014400 is 441004325322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6046073352 + ... + 6046077048.

Almost surely, 2^{22352340014400} is an apocalyptic number.

22352340014400 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 22352340014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40957218998784).

22352340014400 is an abundant number, since it is smaller than the sum of its proper divisors (59562097983168).

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

22352340014400 is a wasteful number, since it uses less digits than its factorization.

22352340014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22352340014400 its reverse (441004325322), we get a palindrome (22793344339722).

The spelling of 22352340014400 in words is "twenty-two trillion, three hundred fifty-two billion, three hundred forty million, fourteen thousand, four hundred".