4100034440 has 64 divisors (see below), whose sum is σ = 9464636160. Its totient is φ = 1597550080.

The previous prime is 4100034437. The next prime is 4100034451. The reversal of 4100034440 is 444300014.

It is a super-2 number, since 2×4100034440² = 33620564818372227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354769 + ... + 1357791.

It is an arithmetic number, because the mean of its divisors is an integer number (147884940).

Almost surely, 2^4100034440 is an apocalyptic number.

4100034440 is a gapful number since it is divisible by the number (40) 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 4100034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732318080).

4100034440 is an abundant number, since it is smaller than the sum of its proper divisors (5364601720).

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

4100034440 is a wasteful number, since it uses less digits than its factorization.

4100034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4100034440 is about 64031.5113049817. The cubic root of 4100034440 is about 1600.5251453285.

Adding to 4100034440 its reverse (444300014), we get a palindrome (4544334454).

The spelling of 4100034440 in words is "four billion, one hundred million, thirty-four thousand, four hundred forty".