4101111040 has 144 divisors (see below), whose sum is σ = 10642233168. Its totient is φ = 1505230848.

The previous prime is 4101111023. The next prime is 4101111061. The reversal of 4101111040 is 401111014.

4101111040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 410305536 + 3690805504 = 20256^2 + 60752^2 .

It is a super-2 number, since 2×4101111040² = 33638223524819763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 4101111040.

It is a congruent number.

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, 3210882 + ... + 3212158.

It is an arithmetic number, because the mean of its divisors is an integer number (73904397).

Almost surely, 2^4101111040 is an apocalyptic number.

4101111040 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 4101111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321116584).

4101111040 is an abundant number, since it is smaller than the sum of its proper divisors (6541122128).

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

4101111040 is a wasteful number, since it uses less digits than its factorization.

4101111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 4101111040 is about 64039.9175514772. The cubic root of 4101111040 is about 1600.6652233853.

Adding to 4101111040 its reverse (401111014), we get a palindrome (4502222054).

The spelling of 4101111040 in words is "four billion, one hundred one million, one hundred eleven thousand, forty".