13906232340 has 864 divisors, whose sum is σ = 55916485632. Its totient is φ = 2554675200.

The previous prime is 13906232323. The next prime is 13906232341. The reversal of 13906232340 is 4323260931.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13906232341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 143363172 + ... + 143363268.

Almost surely, 2^13906232340 is an apocalyptic number.

13906232340 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 13906232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958242816).

13906232340 is an abundant number, since it is smaller than the sum of its proper divisors (42010253292).

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

13906232340 is a wasteful number, since it uses less digits than its factorization.

13906232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 13906232340 in words is "thirteen billion, nine hundred six million, two hundred thirty-two thousand, three hundred forty".