14400510740 has 96 divisors (see below), whose sum is σ = 37755051264. Its totient is φ = 4482293760.

The previous prime is 14400510731. The next prime is 14400510763. The reversal of 14400510740 is 4701500441.

14400510740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1184372 + ... + 1196468.

It is an arithmetic number, because the mean of its divisors is an integer number (393281784).

Almost surely, 2^14400510740 is an apocalyptic number.

14400510740 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 14400510740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18877525632).

14400510740 is an abundant number, since it is smaller than the sum of its proper divisors (23354540524).

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

14400510740 is a wasteful number, since it uses less digits than its factorization.

14400510740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12895 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The spelling of 14400510740 in words is "fourteen billion, four hundred million, five hundred ten thousand, seven hundred forty".