13430653140 has 96 divisors (see below), whose sum is σ = 39841611264. Its totient is φ = 3368826880.

The previous prime is 13430653127. The next prime is 13430653163. The reversal of 13430653140 is 4135603431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13430653098 and 13430653107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2493250 + ... + 2498630.

It is an arithmetic number, because the mean of its divisors is an integer number (415016784).

Almost surely, 2^13430653140 is an apocalyptic number.

13430653140 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 13430653140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920805632).

13430653140 is an abundant number, since it is smaller than the sum of its proper divisors (26410958124).

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

13430653140 is a wasteful number, since it uses less digits than its factorization.

13430653140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 13430653140 in words is "thirteen billion, four hundred thirty million, six hundred fifty-three thousand, one hundred forty".