14232704400 has 210 divisors, whose sum is σ = 51268706130. Its totient is φ = 3795310080.

The previous prime is 14232704399. The next prime is 14232704411. The reversal of 14232704400 is 440723241.

It can be written as a sum of positive squares in 3 ways, for example, as 425514384 + 13807190016 = 20628^2 + 117504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 267196 + ... + 316004.

Almost surely, 2^14232704400 is an apocalyptic number.

14232704400 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 14232704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25634353065).

14232704400 is an abundant number, since it is smaller than the sum of its proper divisors (37036001730).

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

14232704400 is an equidigital number, since it uses as much as digits as its factorization.

14232704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48845 (or 48819 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 14232704400 in words is "fourteen billion, two hundred thirty-two million, seven hundred four thousand, four hundred".