14531030400 has 192 divisors, whose sum is σ = 48537964800. Its totient is φ = 3820185600.

The previous prime is 14531030369. The next prime is 14531030419. The reversal of 14531030400 is 403013541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×14531030400² (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 23 ways as a sum of consecutive naturals, for example, 670941 + ... + 692259.

It is an arithmetic number, because the mean of its divisors is an integer number (252801900).

Almost surely, 2^14531030400 is an apocalyptic number.

14531030400 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 14531030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24268982400).

14531030400 is an abundant number, since it is smaller than the sum of its proper divisors (34006934400).

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

14531030400 is a wasteful number, since it uses less digits than its factorization.

14531030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21417 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 14531030400 its reverse (403013541), we get a palindrome (14934043941).

The spelling of 14531030400 in words is "fourteen billion, five hundred thirty-one million, thirty thousand, four hundred".