22503040014400 has 168 divisors, whose sum is σ = 60410158234560. Its totient is φ = 8182268160000.

The previous prime is 22503040014361. The next prime is 22503040014449. The reversal of 22503040014400 is 441004030522.

It is a happy number.

It is a super-3 number, since 3×22503040014400³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 256053666 + ... + 256141534.

Almost surely, 2^{22503040014400} is an apocalyptic number.

22503040014400 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 22503040014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30205079117280).

22503040014400 is an abundant number, since it is smaller than the sum of its proper divisors (37907118220160).

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

22503040014400 is a wasteful number, since it uses less digits than its factorization.

22503040014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102453 (or 102438 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 22503040014400 its reverse (441004030522), we get a palindrome (22944044044922).

The spelling of 22503040014400 in words is "twenty-two trillion, five hundred three billion, forty million, fourteen thousand, four hundred".