13029723840 has 224 divisors, whose sum is σ = 47723779584. Its totient is φ = 2950225920.

The previous prime is 13029723793. The next prime is 13029723851. The reversal of 13029723840 is 4832792031.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 709980 + ... + 728100.

Almost surely, 2^13029723840 is an apocalyptic number.

13029723840 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 13029723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23861889792).

13029723840 is an abundant number, since it is smaller than the sum of its proper divisors (34694055744).

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

13029723840 is a wasteful number, since it uses less digits than its factorization.

13029723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18255 (or 18245 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13029723840 in words is "thirteen billion, twenty-nine million, seven hundred twenty-three thousand, eight hundred forty".