10234541140 has 96 divisors (see below), whose sum is σ = 23300323200. Its totient is φ = 3762961920.

The previous prime is 10234541129. The next prime is 10234541147. The reversal of 10234541140 is 4114543201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234541147) 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 31 ways as a sum of consecutive naturals, for example, 6480871 + ... + 6482449.

It is an arithmetic number, because the mean of its divisors is an integer number (242711700).

Almost surely, 2^10234541140 is an apocalyptic number.

10234541140 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 10234541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650161600).

10234541140 is an abundant number, since it is smaller than the sum of its proper divisors (13065782060).

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

10234541140 is a wasteful number, since it uses less digits than its factorization.

10234541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 10234541140 in words is "ten billion, two hundred thirty-four million, five hundred forty-one thousand, one hundred forty".