440100108 has 96 divisors (see below), whose sum is σ = 1313088000. Its totient is φ = 124867008.

The previous prime is 440100107. The next prime is 440100119. The reversal of 440100108 is 801001044.

It is a super-2 number, since 2×440100108² = 387376210123223328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (440100107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110691 + ... + 114597.

It is an arithmetic number, because the mean of its divisors is an integer number (13678000).

Almost surely, 2^440100108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440100108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656544000).

440100108 is an abundant number, since it is smaller than the sum of its proper divisors (872987892).

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

440100108 is a wasteful number, since it uses less digits than its factorization.

440100108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 440100108 is about 20978.5630585128. The cubic root of 440100108 is about 760.6481705002.

The spelling of 440100108 in words is "four hundred forty million, one hundred thousand, one hundred eight".