14013642640 has 80 divisors (see below), whose sum is σ = 34689498480. Its totient is φ = 5246484480.

The previous prime is 14013642619. The next prime is 14013642703. The reversal of 14013642640 is 4624631041.

It can be written as a sum of positive squares in 8 ways, for example, as 4541681664 + 9471960976 = 67392^2 + 97324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217696 + ... + 274624.

It is an arithmetic number, because the mean of its divisors is an integer number (433618731).

Almost surely, 2^14013642640 is an apocalyptic number.

14013642640 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 14013642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344749240).

14013642640 is an abundant number, since it is smaller than the sum of its proper divisors (20675855840).

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

14013642640 is a wasteful number, since it uses less digits than its factorization.

14013642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57140 (or 57134 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 14013642640 in words is "fourteen billion, thirteen million, six hundred forty-two thousand, six hundred forty".