4117849496904 has 768 divisors, whose sum is σ = 12988549324800. Its totient is φ = 1078414571520.

The previous prime is 4117849496899. The next prime is 4117849496921. The reversal of 4117849496904 is 4096949487114.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 11867001259 + ... + 11867001605.

It is an arithmetic number, because the mean of its divisors is an integer number (16912173600).

Almost surely, 2^{4117849496904} is an apocalyptic number.

4117849496904 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 4117849496904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494274662400).

4117849496904 is an abundant number, since it is smaller than the sum of its proper divisors (8870699827896).

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

4117849496904 is a wasteful number, since it uses less digits than its factorization.

4117849496904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 4117849496904 in words is "four trillion, one hundred seventeen billion, eight hundred forty-nine million, four hundred ninety-six thousand, nine hundred four".