14070205225440 has 576 divisors, whose sum is σ = 61664216979456. Its totient is φ = 2839585959936.

The previous prime is 14070205225369. The next prime is 14070205225481. The reversal of 14070205225440 is 4452250207041.

14070205225440 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 0 + 205 + 2 + 2 + 5 + 440 = 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 = 14070205225395 and 14070205225404.

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, 679717 + ... + 5348123.

It is an arithmetic number, because the mean of its divisors is an integer number (107055932256).

Almost surely, 2^{14070205225440} is an apocalyptic number.

14070205225440 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 14070205225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30832108489728).

14070205225440 is an abundant number, since it is smaller than the sum of its proper divisors (47594011754016).

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

14070205225440 is a wasteful number, since it uses less digits than its factorization.

14070205225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668471 (or 4668460 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 14070205225440 in words is "fourteen trillion, seventy billion, two hundred five million, two hundred twenty-five thousand, four hundred forty".