14118128640 has 1056 divisors, whose sum is σ = 64009460736. Its totient is φ = 2789867520.

The previous prime is 14118128623. The next prime is 14118128653. The reversal of 14118128640 is 4682181141.

14118128640 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 8 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14118128595 and 14118128604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81607594 + ... + 81607766.

Almost surely, 2^14118128640 is an apocalyptic number.

14118128640 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 14118128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32004730368).

14118128640 is an abundant number, since it is smaller than the sum of its proper divisors (49891332096).

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

14118128640 is a wasteful number, since it uses less digits than its factorization.

14118128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 14118128640 in words is "fourteen billion, one hundred eighteen million, one hundred twenty-eight thousand, six hundred forty".