4100031040 has 112 divisors (see below), whose sum is σ = 11197815552. Its totient is φ = 1400702976.

The previous prime is 4100030989. The next prime is 4100031079. The reversal of 4100031040 is 401300014.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 4100031040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653197 + ... + 659443.

It is an arithmetic number, because the mean of its divisors is an integer number (99980496).

Almost surely, 2^4100031040 is an apocalyptic number.

4100031040 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 4100031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598907776).

4100031040 is an abundant number, since it is smaller than the sum of its proper divisors (7097784512).

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

4100031040 is a wasteful number, since it uses less digits than its factorization.

4100031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4100031040 is about 64031.4847555482. The cubic root of 4100031040 is about 1600.5247029105.

Adding to 4100031040 its reverse (401300014), we get a palindrome (4501331054).

The spelling of 4100031040 in words is "four billion, one hundred million, thirty-one thousand, forty".