14111971917120 has 3360 divisors, whose sum is σ = 67097357458560. Its totient is φ = 2779951104000.

The previous prime is 14111971917089. The next prime is 14111971917151. The reversal of 14111971917120 is 2171917911141.

14111971917120 is a `hidden beast` number, since 1 + 411 + 1 + 97 + 19 + 17 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (14111971917089) and next prime (14111971917151).

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 24714486435 + ... + 24714487005.

Almost surely, 2^{14111971917120} is an apocalyptic number.

14111971917120 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 14111971917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33548678729280).

14111971917120 is an abundant number, since it is smaller than the sum of its proper divisors (52985385541440).

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

14111971917120 is a wasteful number, since it uses less digits than its factorization.

14111971917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 45.

The spelling of 14111971917120 in words is "fourteen trillion, one hundred eleven billion, nine hundred seventy-one million, nine hundred seventeen thousand, one hundred twenty".