14345442354240 has 168 divisors, whose sum is σ = 49344025548480. Its totient is φ = 3825320961024.

The previous prime is 14345442354211. The next prime is 14345442354263. The reversal of 14345442354240 is 4245324454341.

14345442354240 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 5 + 44 + 23 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 108645381 + ... + 108777339.

Almost surely, 2^{14345442354240} is an apocalyptic number.

14345442354240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14345442354240 is an abundant number, since it is smaller than the sum of its proper divisors (34998583194240).

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

14345442354240 is a wasteful number, since it uses less digits than its factorization.

14345442354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169729 (or 169716 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 14345442354240 in words is "fourteen trillion, three hundred forty-five billion, four hundred forty-two million, three hundred fifty-four thousand, two hundred forty".