14070857804640 has 2592 divisors, whose sum is σ = 64961919116640. Its totient is φ = 2739416924160.

The previous prime is 14070857804639. The next prime is 14070857804659. The reversal of 14070857804640 is 4640875807041.

14070857804640 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 0 + 8 + 578 + 0 + 4 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 78608144071 + ... + 78608144249.

It is an arithmetic number, because the mean of its divisors is an integer number (25062468795).

Almost surely, 2^{14070857804640} is an apocalyptic number.

14070857804640 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 14070857804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32480959558320).

14070857804640 is an abundant number, since it is smaller than the sum of its proper divisors (50891061312000).

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

14070857804640 is a wasteful number, since it uses less digits than its factorization.

14070857804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 14070857804640 in words is "fourteen trillion, seventy billion, eight hundred fifty-seven million, eight hundred four thousand, six hundred forty".