14405070456 has 320 divisors, whose sum is σ = 47532672000. Its totient is φ = 3990954240.

The previous prime is 14405070409. The next prime is 14405070461. The reversal of 14405070456 is 65407050441.

14405070456 is a `hidden beast` number, since 144 + 0 + 507 + 0 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14405070456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21858655 + ... + 21859313.

It is an arithmetic number, because the mean of its divisors is an integer number (148539600).

Almost surely, 2^14405070456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14405070456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23766336000).

14405070456 is an abundant number, since it is smaller than the sum of its proper divisors (33127601544).

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

14405070456 is a wasteful number, since it uses less digits than its factorization.

14405070456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 14405070456 in words is "fourteen billion, four hundred five million, seventy thousand, four hundred fifty-six".