10349930240 has 144 divisors (see below), whose sum is σ = 26952494688. Its totient is φ = 3785146368.

The previous prime is 10349930237. The next prime is 10349930251. The reversal of 10349930240 is 4203994301.

It is a self number, because there is not a number n which added to its sum of digits gives 10349930240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1777574 + ... + 1783386.

It is an arithmetic number, because the mean of its divisors is an integer number (187170102).

Almost surely, 2^10349930240 is an apocalyptic number.

10349930240 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 10349930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476247344).

10349930240 is an abundant number, since it is smaller than the sum of its proper divisors (16602564448).

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

10349930240 is a wasteful number, since it uses less digits than its factorization.

10349930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 10349930240 in words is "ten billion, three hundred forty-nine million, nine hundred thirty thousand, two hundred forty".