10305104142040 has 64 divisors (see below), whose sum is σ = 23225506552800. Its totient is φ = 4115109777408.

The previous prime is 10305104141999. The next prime is 10305104142041. The reversal of 10305104142040 is 4024140150301.

10305104142040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10305104141996 and 10305104142014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305104142041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61862542 + ... + 62028898.

Almost surely, 2^{10305104142040} is an apocalyptic number.

10305104142040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305104142040 is an abundant number, since it is smaller than the sum of its proper divisors (12920402410760).

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

10305104142040 is a wasteful number, since it uses less digits than its factorization.

10305104142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168964 (or 168960 counting only the distinct ones).

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

Adding to 10305104142040 its reverse (4024140150301), we get a palindrome (14329244292341).

The spelling of 10305104142040 in words is "ten trillion, three hundred five billion, one hundred four million, one hundred forty-two thousand, forty".