14314632333540 has 576 divisors, whose sum is σ = 51767862773760. Its totient is φ = 2871116236800.

The previous prime is 14314632333457. The next prime is 14314632333563. The reversal of 14314632333540 is 4533323641341.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14314632333492 and 14314632333501.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1815882439 + ... + 1815890321.

It is an arithmetic number, because the mean of its divisors is an integer number (89874761760).

Almost surely, 2^{14314632333540} is an apocalyptic number.

14314632333540 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 14314632333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25883931386880).

14314632333540 is an abundant number, since it is smaller than the sum of its proper divisors (37453230440220).

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

14314632333540 is a wasteful number, since it uses less digits than its factorization.

14314632333540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

Adding to 14314632333540 its reverse (4533323641341), we get a palindrome (18847955974881).

The spelling of 14314632333540 in words is "fourteen trillion, three hundred fourteen billion, six hundred thirty-two million, three hundred thirty-three thousand, five hundred forty".