10042440345 has 96 divisors (see below), whose sum is σ = 21844263168. Its totient is φ = 4320718848.

The previous prime is 10042440319. The next prime is 10042440383. The reversal of 10042440345 is 54304424001.

It is a happy number.

It is not a de Polignac number, because 10042440345 - 2¹¹ = 10042438297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109857 + ... + 179313.

It is an arithmetic number, because the mean of its divisors is an integer number (227544408).

Almost surely, 2^10042440345 is an apocalyptic number.

10042440345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042440345 is an abundant number, since it is smaller than the sum of its proper divisors (11801822823).

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

10042440345 is an equidigital number, since it uses as much as digits as its factorization.

10042440345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69501 (or 69489 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10042440345 its reverse (54304424001), we get a palindrome (64346864346).

The spelling of 10042440345 in words is "ten billion, forty-two million, four hundred forty thousand, three hundred forty-five".