14019072480 has 432 divisors, whose sum is σ = 58585297680. Its totient is φ = 3035418624.

The previous prime is 14019072449. The next prime is 14019072503. The reversal of 14019072480 is 8427091041.

14019072480 is a `hidden beast` number, since 1 + 401 + 9 + 0 + 7 + 248 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 1335412 + ... + 1345868.

It is an arithmetic number, because the mean of its divisors is an integer number (135614115).

Almost surely, 2^14019072480 is an apocalyptic number.

14019072480 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 14019072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29292648840).

14019072480 is an abundant number, since it is smaller than the sum of its proper divisors (44566225200).

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

14019072480 is a wasteful number, since it uses less digits than its factorization.

14019072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14019072480 in words is "fourteen billion, nineteen million, seventy-two thousand, four hundred eighty".