22321350422400 has 192 divisors, whose sum is σ = 74406745163520. Its totient is φ = 5880644720640.

The previous prime is 22321350422351. The next prime is 22321350422419. The reversal of 22321350422400 is 422405312322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×22321350422400³ (a number of 41 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13210072 + ... + 14803671.

It is an arithmetic number, because the mean of its divisors is an integer number (387535131060).

Almost surely, 2^{22321350422400} is an apocalyptic number.

22321350422400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321350422400 is an abundant number, since it is smaller than the sum of its proper divisors (52085394741120).

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

22321350422400 is a wasteful number, since it uses less digits than its factorization.

22321350422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28013853 (or 28013836 counting only the distinct ones).

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

Adding to 22321350422400 its reverse (422405312322), we get a palindrome (22743755734722).

The spelling of 22321350422400 in words is "twenty-two trillion, three hundred twenty-one billion, three hundred fifty million, four hundred twenty-two thousand, four hundred".