14531444400 has 240 divisors, whose sum is σ = 51616124928. Its totient is φ = 3464832000.

The previous prime is 14531444371. The next prime is 14531444419. The reversal of 14531444400 is 444413541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14531444400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796177 + ... + 814223.

Almost surely, 2^14531444400 is an apocalyptic number.

14531444400 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 14531444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808062464).

14531444400 is an abundant number, since it is smaller than the sum of its proper divisors (37084680528).

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

14531444400 is a wasteful number, since it uses less digits than its factorization.

14531444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18140 (or 18129 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14531444400 its reverse (444413541), we get a palindrome (14975857941).

The spelling of 14531444400 in words is "fourteen billion, five hundred thirty-one million, four hundred forty-four thousand, four hundred".