4132114404 has 96 divisors (see below), whose sum is σ = 10994780160. Its totient is φ = 1195603200.

The previous prime is 4132114391. The next prime is 4132114421. The reversal of 4132114404 is 4044112314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2789344 + ... + 2790824.

It is an arithmetic number, because the mean of its divisors is an integer number (114528960).

Almost surely, 2^4132114404 is an apocalyptic number.

4132114404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132114404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497390080).

4132114404 is an abundant number, since it is smaller than the sum of its proper divisors (6862665756).

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

4132114404 is a wasteful number, since it uses less digits than its factorization.

4132114404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4132114404 is about 64281.5245929964. The cubic root of 4132114404 is about 1604.6886433232.

Adding to 4132114404 its reverse (4044112314), we get a palindrome (8176226718).

The spelling of 4132114404 in words is "four billion, one hundred thirty-two million, one hundred fourteen thousand, four hundred four".