14070435840 has 312 divisors, whose sum is σ = 50907392640. Its totient is φ = 3587899392.

The previous prime is 14070435833. The next prime is 14070435853. The reversal of 14070435840 is 4853407041.

14070435840 is a `hidden beast` number, since 1 + 4 + 0 + 70 + 4 + 3 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14070435795 and 14070435804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237701 + ... + 4241019.

It is an arithmetic number, because the mean of its divisors is an integer number (163164720).

Almost surely, 2^14070435840 is an apocalyptic number.

14070435840 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 14070435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25453696320).

14070435840 is an abundant number, since it is smaller than the sum of its proper divisors (36836956800).

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

14070435840 is a wasteful number, since it uses less digits than its factorization.

14070435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14070435840 in words is "fourteen billion, seventy million, four hundred thirty-five thousand, eight hundred forty".