14429100040992 has 432 divisors, whose sum is σ = 53061872677632. Its totient is φ = 3682718161920.

The previous prime is 14429100040963. The next prime is 14429100040997. The reversal of 14429100040992 is 29904000192441.

It is a happy number.

14429100040992 is a `hidden beast` number, since 14 + 42 + 9 + 100 + 0 + 409 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (14429100040997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4418563 + ... + 6955709.

It is an arithmetic number, because the mean of its divisors is an integer number (122828408976).

Almost surely, 2^{14429100040992} is an apocalyptic number.

14429100040992 is a gapful number since it is divisible by the number (12) 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 14429100040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26530936338816).

14429100040992 is an abundant number, since it is smaller than the sum of its proper divisors (38632772636640).

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

14429100040992 is a wasteful number, since it uses less digits than its factorization.

14429100040992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537221 (or 2537203 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14429100040992 in words is "fourteen trillion, four hundred twenty-nine billion, one hundred million, forty thousand, nine hundred ninety-two".