10035861444 has 120 divisors (see below), whose sum is σ = 30275493248. Its totient is φ = 2839484160.

The previous prime is 10035861443. The next prime is 10035861497. The reversal of 10035861444 is 44416853001.

10035861444 is a `hidden beast` number, since 1 + 0 + 0 + 35 + 8 + 614 + 4 + 4 = 666.

10035861444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10035861399 and 10035861408.

It is not an unprimeable number, because it can be changed into a prime (10035861443) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 212124 + ... + 255084.

Almost surely, 2^10035861444 is an apocalyptic number.

10035861444 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 10035861444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15137746624).

10035861444 is an abundant number, since it is smaller than the sum of its proper divisors (20239631804).

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

10035861444 is a wasteful number, since it uses less digits than its factorization.

10035861444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43087 (or 43076 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10035861444 in words is "ten billion, thirty-five million, eight hundred sixty-one thousand, four hundred forty-four".