14841431400 has 96 divisors (see below), whose sum is σ = 46043928000. Its totient is φ = 3954662400.

The previous prime is 14841431399. The next prime is 14841431417. The reversal of 14841431400 is 413414841.

14841431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830560 + ... + 848240.

It is an arithmetic number, because the mean of its divisors is an integer number (479624250).

Almost surely, 2^14841431400 is an apocalyptic number.

14841431400 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 14841431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021964000).

14841431400 is an abundant number, since it is smaller than the sum of its proper divisors (31202496600).

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

14841431400 is a wasteful number, since it uses less digits than its factorization.

14841431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19099 (or 19090 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 14841431400 in words is "fourteen billion, eight hundred forty-one million, four hundred thirty-one thousand, four hundred".