10441000164 has 72 divisors (see below), whose sum is σ = 28430901408. Its totient is φ = 2973559680.

The previous prime is 10441000147. The next prime is 10441000243. The reversal of 10441000164 is 46100014401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10441000164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155679 + ... + 212409.

Almost surely, 2^10441000164 is an apocalyptic number.

10441000164 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 10441000164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215450704).

10441000164 is an abundant number, since it is smaller than the sum of its proper divisors (17989901244).

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

10441000164 is a wasteful number, since it uses less digits than its factorization.

10441000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57065 (or 57056 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10441000164 its reverse (46100014401), we get a palindrome (56541014565).

The spelling of 10441000164 in words is "ten billion, four hundred forty-one million, one hundred sixty-four", and thus it is an aban number.