4141713408 has 384 divisors, whose sum is σ = 13586227200. Its totient is φ = 1096482816.

The previous prime is 4141713397. The next prime is 4141713409. The reversal of 4141713408 is 8043171414.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4141713409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52426713 + ... + 52426791.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^4141713408 is an apocalyptic number.

4141713408 is a gapful number since it is divisible by the number (48) 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 4141713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

4141713408 is an abundant number, since it is smaller than the sum of its proper divisors (9444513792).

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

4141713408 is a wasteful number, since it uses less digits than its factorization.

4141713408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4141713408 is about 64356.1450678954. The cubic root of 4141713408 is about 1605.9302595248.

The spelling of 4141713408 in words is "four billion, one hundred forty-one million, seven hundred thirteen thousand, four hundred eight".