4114331100 has 216 divisors, whose sum is σ = 14263743312. Its totient is φ = 983577600.

The previous prime is 4114331093. The next prime is 4114331107. The reversal of 4114331100 is 11334114.

It is an interprime number because it is at equal distance from previous prime (4114331093) and next prime (4114331107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114331107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 719854 + ... + 725546.

Almost surely, 2^4114331100 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 4114331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131871656).

4114331100 is an abundant number, since it is smaller than the sum of its proper divisors (10149412212).

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

4114331100 is a wasteful number, since it uses less digits than its factorization.

4114331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4114331100 is about 64143.0518450752. The cubic root of 4114331100 is about 1602.3833101120.

Adding to 4114331100 its reverse (11334114), we get a palindrome (4125665214).

The spelling of 4114331100 in words is "four billion, one hundred fourteen million, three hundred thirty-one thousand, one hundred".