14734384000400 has 120 divisors (see below), whose sum is σ = 35830125579360. Its totient is φ = 5822050590720.

The previous prime is 14734384000373. The next prime is 14734384000451. The reversal of 14734384000400 is 400048343741.

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, 347217584 + ... + 347260016.

It is an arithmetic number, because the mean of its divisors is an integer number (298584379828).

Almost surely, 2^{14734384000400} is an apocalyptic number.

14734384000400 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 14734384000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915062789680).

14734384000400 is an abundant number, since it is smaller than the sum of its proper divisors (21095741578960).

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

14734384000400 is a wasteful number, since it uses less digits than its factorization.

14734384000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52993 (or 52982 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 14734384000400 in words is "fourteen trillion, seven hundred thirty-four billion, three hundred eighty-four million, four hundred", and thus it is an aban number.