14002779920640 has 576 divisors, whose sum is σ = 51687925825536. Its totient is φ = 3164657319936.

The previous prime is 14002779920627. The next prime is 14002779920729. The reversal of 14002779920640 is 4602997720041.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 863135569 + ... + 863151791.

It is an arithmetic number, because the mean of its divisors is an integer number (89735982336).

Almost surely, 2^{14002779920640} is an apocalyptic number.

14002779920640 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 14002779920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25843962912768).

14002779920640 is an abundant number, since it is smaller than the sum of its proper divisors (37685145904896).

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

14002779920640 is a wasteful number, since it uses less digits than its factorization.

14002779920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 14002779920640 in words is "fourteen trillion, two billion, seven hundred seventy-nine million, nine hundred twenty thousand, six hundred forty".