4114332441100 has 72 divisors (see below), whose sum is σ = 10203811025408. Its totient is φ = 1410591412800.

The previous prime is 4114332441097. The next prime is 4114332441113. The reversal of 4114332441100 is 11442334114.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50809645 + ... + 50890555.

Almost surely, 2^{4114332441100} is an apocalyptic number.

It is an amenable number.

4114332441100 is an abundant number, since it is smaller than the sum of its proper divisors (6089478584308).

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

4114332441100 is a wasteful number, since it uses less digits than its factorization.

4114332441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153575 (or 153568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4114332441100 its reverse (11442334114), we get a palindrome (4125774775214).

The spelling of 4114332441100 in words is "four trillion, one hundred fourteen billion, three hundred thirty-two million, four hundred forty-one thousand, one hundred".