10044411438100 has 36 divisors (see below), whose sum is σ = 23473016886844. Its totient is φ = 3708705761280.

The previous prime is 10044411438041. The next prime is 10044411438179. The reversal of 10044411438100 is 183411444001.

It can be written as a sum of positive squares in 6 ways, for example, as 3005355091216 + 7039056346884 = 1733596^2 + 2653122^2 .

It is a super-2 number, since 2×10044411438100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3863233869 + ... + 3863236468.

Almost surely, 2^{10044411438100} is an apocalyptic number.

10044411438100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044411438100 is an abundant number, since it is smaller than the sum of its proper divisors (13428605448744).

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

10044411438100 is a wasteful number, since it uses less digits than its factorization.

10044411438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726470364 (or 7726470357 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 10044411438100 in words is "ten trillion, forty-four billion, four hundred eleven million, four hundred thirty-eight thousand, one hundred".