4114825704 has 192 divisors, whose sum is σ = 12628828800. Its totient is φ = 1240462080.

The previous prime is 4114825691. The next prime is 4114825709. The reversal of 4114825704 is 4075284114.

It is a happy number.

4114825704 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 82 + 570 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4114825709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8180317 + ... + 8180819.

It is an arithmetic number, because the mean of its divisors is an integer number (65775150).

Almost surely, 2^4114825704 is an apocalyptic number.

4114825704 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 4114825704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314414400).

4114825704 is an abundant number, since it is smaller than the sum of its proper divisors (8514003096).

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

4114825704 is a wasteful number, since it uses less digits than its factorization.

4114825704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4114825704 is about 64146.9072052582. The cubic root of 4114825704 is about 1602.4475176684.

The spelling of 4114825704 in words is "four billion, one hundred fourteen million, eight hundred twenty-five thousand, seven hundred four".