4141314864 has 280 divisors, whose sum is σ = 12880961280. Its totient is φ = 1286119296.

The previous prime is 4141314857. The next prime is 4141314941. The reversal of 4141314864 is 4684131414.

It is a happy number.

4141314864 is a `hidden beast` number, since 4 + 141 + 31 + 486 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11535517 + ... + 11535875.

Almost surely, 2^4141314864 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 4141314864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440480640).

4141314864 is an abundant number, since it is smaller than the sum of its proper divisors (8739646416).

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

4141314864 is a wasteful number, since it uses less digits than its factorization.

4141314864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4141314864 is about 64353.0485991146. The cubic root of 4141314864 is about 1605.8787466735.

The spelling of 4141314864 in words is "four billion, one hundred forty-one million, three hundred fourteen thousand, eight hundred sixty-four".