14355142400 has 108 divisors (see below), whose sum is σ = 35590164792. Its totient is φ = 5732536320.

The previous prime is 14355142391. The next prime is 14355142427. The reversal of 14355142400 is 424155341.

It is a super-2 number, since 2×14355142400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4843319 + ... + 4846281.

Almost surely, 2^14355142400 is an apocalyptic number.

14355142400 is a gapful number since it is divisible by the number (10) 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 14355142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795082396).

14355142400 is an abundant number, since it is smaller than the sum of its proper divisors (21235022392).

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

14355142400 is an equidigital number, since it uses as much as digits as its factorization.

14355142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 14355142400 its reverse (424155341), we get a palindrome (14779297741).

The spelling of 14355142400 in words is "fourteen billion, three hundred fifty-five million, one hundred forty-two thousand, four hundred".