14401456310340 has 144 divisors (see below), whose sum is σ = 48127567715136. Its totient is φ = 3456695136000.

The previous prime is 14401456310279. The next prime is 14401456310363. The reversal of 14401456310340 is 4301365410441.

14401456310340 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 14 + 5 + 631 + 0 + 3 + 4 + 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 = 14401456310295 and 14401456310304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35807262 + ... + 36207221.

It is an arithmetic number, because the mean of its divisors is an integer number (334219220244).

Almost surely, 2^{14401456310340} is an apocalyptic number.

14401456310340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401456310340 is an abundant number, since it is smaller than the sum of its proper divisors (33726111404796).

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

14401456310340 is a wasteful number, since it uses less digits than its factorization.

14401456310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72014610 (or 72014605 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14401456310340 in words is "fourteen trillion, four hundred one billion, four hundred fifty-six million, three hundred ten thousand, three hundred forty".