14403813007920 has 320 divisors, whose sum is σ = 51242684258304. Its totient is φ = 3278629601280.

The previous prime is 14403813007849. The next prime is 14403813007933. The reversal of 14403813007920 is 2970031830441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333353954 + ... + 2333360126.

Almost surely, 2^{14403813007920} is an apocalyptic number.

14403813007920 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 14403813007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25621342129152).

14403813007920 is an abundant number, since it is smaller than the sum of its proper divisors (36838871250384).

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

14403813007920 is a wasteful number, since it uses less digits than its factorization.

14403813007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11740 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 14403813007920 in words is "fourteen trillion, four hundred three billion, eight hundred thirteen million, seven thousand, nine hundred twenty".