14010560640 has 192 divisors, whose sum is σ = 49063060800. Its totient is φ = 3683420160.

The previous prime is 14010560617. The next prime is 14010560671. The reversal of 14010560640 is 4606501041.

14010560640 is a `hidden beast` number, since 1 + 4 + 0 + 10 + 5 + 6 + 0 + 640 = 666.

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

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, 391831 + ... + 426089.

It is an arithmetic number, because the mean of its divisors is an integer number (255536775).

Almost surely, 2^14010560640 is an apocalyptic number.

14010560640 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 14010560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24531530400).

14010560640 is an abundant number, since it is smaller than the sum of its proper divisors (35052500160).

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

14010560640 is a wasteful number, since it uses less digits than its factorization.

14010560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34355 (or 34340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 14010560640 in words is "fourteen billion, ten million, five hundred sixty thousand, six hundred forty".