4114700100 has 576 divisors, whose sum is σ = 15912314880. Its totient is φ = 892684800.

The previous prime is 4114700089. The next prime is 4114700129. The reversal of 4114700100 is 10074114.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49574659 + ... + 49574741.

Almost surely, 2^4114700100 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 4114700100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956157440).

4114700100 is an abundant number, since it is smaller than the sum of its proper divisors (11797614780).

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

4114700100 is a wasteful number, since it uses less digits than its factorization.

4114700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 4114700100 is about 64145.9281638359. The cubic root of 4114700100 is about 1602.4312127359.

Adding to 4114700100 its reverse (10074114), we get a palindrome (4124774214).

The spelling of 4114700100 in words is "four billion, one hundred fourteen million, seven hundred thousand, one hundred".