10042334340 has 96 divisors (see below), whose sum is σ = 28752071040. Its totient is φ = 2618290176.

The previous prime is 10042334327. The next prime is 10042334369. The reversal of 10042334340 is 4343324001.

It is a self number, because there is not a number n which added to its sum of digits gives 10042334340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472666 + ... + 493454.

It is an arithmetic number, because the mean of its divisors is an integer number (299500740).

Almost surely, 2^10042334340 is an apocalyptic number.

10042334340 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 10042334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376035520).

10042334340 is an abundant number, since it is smaller than the sum of its proper divisors (18709736700).

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

10042334340 is a wasteful number, since it uses less digits than its factorization.

10042334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20981 (or 20979 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10042334340 its reverse (4343324001), we get a palindrome (14385658341).

The spelling of 10042334340 in words is "ten billion, forty-two million, three hundred thirty-four thousand, three hundred forty".