4141275456 has 112 divisors (see below), whose sum is σ = 11094378624. Its totient is φ = 1363255296.

The previous prime is 4141275403. The next prime is 4141275499. The reversal of 4141275456 is 6545721414.

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, 8232901 + ... + 8233403.

It is an arithmetic number, because the mean of its divisors is an integer number (99056952).

Almost surely, 2^4141275456 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 4141275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547189312).

4141275456 is an abundant number, since it is smaller than the sum of its proper divisors (6953103168).

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

4141275456 is a wasteful number, since it uses less digits than its factorization.

4141275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 4141275456 is about 64352.7424124256. The cubic root of 4141275456 is about 1605.8736529072.

The spelling of 4141275456 in words is "four billion, one hundred forty-one million, two hundred seventy-five thousand, four hundred fifty-six".