10145410044 has 144 divisors (see below), whose sum is σ = 29800103424. Its totient is φ = 2629630080.

The previous prime is 10145410039. The next prime is 10145410057. The reversal of 10145410044 is 44001454101.

It is a junction number, because it is equal to n+sod(n) for n = 10145409996 and 10145410023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7388542 + ... + 7389914.

Almost surely, 2^10145410044 is an apocalyptic number.

10145410044 is a gapful number since it is divisible by the number (14) 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 10145410044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900051712).

10145410044 is an abundant number, since it is smaller than the sum of its proper divisors (19654693380).

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

10145410044 is a wasteful number, since it uses less digits than its factorization.

10145410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10145410044 its reverse (44001454101), we get a palindrome (54146864145).

The spelling of 10145410044 in words is "ten billion, one hundred forty-five million, four hundred ten thousand, forty-four".