14199142400 has 288 divisors, whose sum is σ = 37199962800. Its totient is φ = 5367398400.

The previous prime is 14199142379. The next prime is 14199142409. The reversal of 14199142400 is 424199141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14199142409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108390335 + ... + 108390465.

Almost surely, 2^14199142400 is an apocalyptic number.

14199142400 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 14199142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18599981400).

14199142400 is an abundant number, since it is smaller than the sum of its proper divisors (23000820400).

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

14199142400 is a wasteful number, since it uses less digits than its factorization.

14199142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 14199142400 in words is "fourteen billion, one hundred ninety-nine million, one hundred forty-two thousand, four hundred".