4141410656 has 96 divisors (see below), whose sum is σ = 8744500800. Its totient is φ = 1927045120.

The previous prime is 4141410607. The next prime is 4141410661. The reversal of 4141410656 is 6560141414.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385661 + ... + 3386883.

It is an arithmetic number, because the mean of its divisors is an integer number (91088550).

Almost surely, 2^4141410656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141410656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372250400).

4141410656 is an abundant number, since it is smaller than the sum of its proper divisors (4603090144).

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

4141410656 is a wasteful number, since it uses less digits than its factorization.

4141410656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4141410656 is about 64353.7928641351. The cubic root of 4141410656 is about 1605.8911283410.

The spelling of 4141410656 in words is "four billion, one hundred forty-one million, four hundred ten thousand, six hundred fifty-six".