14340460640430 has 96 divisors (see below), whose sum is σ = 35603305823232. Its totient is φ = 3696585218880.

The previous prime is 14340460640383. The next prime is 14340460640497. The reversal of 14340460640430 is 3404606404341.

It is a super-2 number, since 2×14340460640430² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 25291819 + ... + 25852601.

It is an arithmetic number, because the mean of its divisors is an integer number (370867768992).

Almost surely, 2^{14340460640430} is an apocalyptic number.

14340460640430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340460640430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801652911616).

14340460640430 is an abundant number, since it is smaller than the sum of its proper divisors (21262845182802).

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

14340460640430 is a wasteful number, since it uses less digits than its factorization.

14340460640430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561742 (or 561711 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 14340460640430 in words is "fourteen trillion, three hundred forty billion, four hundred sixty million, six hundred forty thousand, four hundred thirty".