4140041100 has 144 divisors (see below), whose sum is σ = 13579130880. Its totient is φ = 965433600.

The previous prime is 4140040973. The next prime is 4140041117. The reversal of 4140041100 is 11400414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4140041100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46165 + ... + 102035.

It is an arithmetic number, because the mean of its divisors is an integer number (94299520).

Almost surely, 2^4140041100 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 4140041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789565440).

4140041100 is an abundant number, since it is smaller than the sum of its proper divisors (9439089780).

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

4140041100 is a wasteful number, since it uses less digits than its factorization.

4140041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55920 (or 55913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4140041100 is about 64343.1511506858. The cubic root of 4140041100 is about 1605.7140871910.

Adding to 4140041100 its reverse (11400414), we get a palindrome (4151441514).

The spelling of 4140041100 in words is "four billion, one hundred forty million, forty-one thousand, one hundred".