14007301297920 has 1152 divisors, whose sum is σ = 57663153838080. Its totient is φ = 3153676861440.

The previous prime is 14007301297901. The next prime is 14007301297937. The reversal of 14007301297920 is 2979210370041.

14007301297920 is a `hidden beast` number, since 1 + 400 + 7 + 30 + 129 + 7 + 92 + 0 = 666.

14007301297920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×14007301297920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8453409732 + ... + 8453411388.

It is an arithmetic number, because the mean of its divisors is an integer number (50054821040).

Almost surely, 2^{14007301297920} is an apocalyptic number.

14007301297920 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 14007301297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28831576919040).

14007301297920 is an abundant number, since it is smaller than the sum of its proper divisors (43655852540160).

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

14007301297920 is a wasteful number, since it uses less digits than its factorization.

14007301297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 14007301297920 in words is "fourteen trillion, seven billion, three hundred one million, two hundred ninety-seven thousand, nine hundred twenty".