14432114400 has 144 divisors (see below), whose sum is σ = 51247219968. Its totient is φ = 3498688000.

The previous prime is 14432114399. The next prime is 14432114423. The reversal of 14432114400 is 441123441.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 246936 + ... + 299735.

It is an arithmetic number, because the mean of its divisors is an integer number (355883472).

Almost surely, 2^14432114400 is an apocalyptic number.

14432114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14432114400 is an abundant number, since it is smaller than the sum of its proper divisors (36815105568).

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

14432114400 is a wasteful number, since it uses less digits than its factorization.

14432114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546705 (or 546692 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14432114400 its reverse (441123441), we get a palindrome (14873237841).

The spelling of 14432114400 in words is "fourteen billion, four hundred thirty-two million, one hundred fourteen thousand, four hundred".