14170272480 has 576 divisors, whose sum is σ = 63025941888. Its totient is φ = 2813460480.

The previous prime is 14170272461. The next prime is 14170272509. The reversal of 14170272480 is 8427207141.

14170272480 is a `hidden beast` number, since 1 + 4 + 170 + 2 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2224500 + ... + 2230860.

It is an arithmetic number, because the mean of its divisors is an integer number (109420038).

Almost surely, 2^14170272480 is an apocalyptic number.

14170272480 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 14170272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31512970944).

14170272480 is an abundant number, since it is smaller than the sum of its proper divisors (48855669408).

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

14170272480 is a wasteful number, since it uses less digits than its factorization.

14170272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 14170272480 in words is "fourteen billion, one hundred seventy million, two hundred seventy-two thousand, four hundred eighty".