10179000440 has 128 divisors (see below), whose sum is σ = 27001036800. Its totient is φ = 3380590080.

The previous prime is 10179000437. The next prime is 10179000457. The reversal of 10179000440 is 4400097101.

It is a super-2 number, since 2×10179000440² (a number of 21 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2473985 + ... + 2478095.

It is an arithmetic number, because the mean of its divisors is an integer number (210945600).

Almost surely, 2^10179000440 is an apocalyptic number.

10179000440 is a gapful number since it is divisible by the number (10) 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 10179000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500518400).

10179000440 is an abundant number, since it is smaller than the sum of its proper divisors (16822036360).

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

10179000440 is a wasteful number, since it uses less digits than its factorization.

10179000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 10179000440 its reverse (4400097101), we get a palindrome (14579097541).

The spelling of 10179000440 in words is "ten billion, one hundred seventy-nine million, four hundred forty", and thus it is an aban number.