10345962140 has 48 divisors (see below), whose sum is σ = 22272292224. Its totient is φ = 4034572800.

The previous prime is 10345962139. The next prime is 10345962161. The reversal of 10345962140 is 4126954301.

10345962140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10345962140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423997 + ... + 1431243.

It is an arithmetic number, because the mean of its divisors is an integer number (464006088).

Almost surely, 2^10345962140 is an apocalyptic number.

10345962140 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 10345962140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136146112).

10345962140 is an abundant number, since it is smaller than the sum of its proper divisors (11926330084).

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

10345962140 is a wasteful number, since it uses less digits than its factorization.

10345962140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10345962140 in words is "ten billion, three hundred forty-five million, nine hundred sixty-two thousand, one hundred forty".