4114532100 has 288 divisors, whose sum is σ = 15035037696. Its totient is φ = 846489600.

The previous prime is 4114532089. The next prime is 4114532101. The reversal of 4114532100 is 12354114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4114532101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818595 + ... + 823605.

It is an arithmetic number, because the mean of its divisors is an integer number (52204992).

Almost surely, 2^4114532100 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 4114532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517518848).

4114532100 is an abundant number, since it is smaller than the sum of its proper divisors (10920505596).

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

4114532100 is a wasteful number, since it uses less digits than its factorization.

4114532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4114532100 is about 64144.6186363283. The cubic root of 4114532100 is about 1602.4094037664.

Adding to 4114532100 its reverse (12354114), we get a palindrome (4126886214).

The spelling of 4114532100 in words is "four billion, one hundred fourteen million, five hundred thirty-two thousand, one hundred".