14022329869440 has 512 divisors, whose sum is σ = 50156469792000. Its totient is φ = 3702142402560.

The previous prime is 14022329869421. The next prime is 14022329869501. The reversal of 14022329869440 is 4496892322041.

14022329869440 is a `hidden beast` number, since 1 + 4 + 0 + 22 + 32 + 98 + 69 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3799057995 + ... + 3799061685.

Almost surely, 2^{14022329869440} is an apocalyptic number.

14022329869440 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 14022329869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25078234896000).

14022329869440 is an abundant number, since it is smaller than the sum of its proper divisors (36134139922560).

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

14022329869440 is a wasteful number, since it uses less digits than its factorization.

14022329869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 14022329869440 in words is "fourteen trillion, twenty-two billion, three hundred twenty-nine million, eight hundred sixty-nine thousand, four hundred forty".