4131640410 has 64 divisors (see below), whose sum is σ = 10135601280. Its totient is φ = 1077569280.

The previous prime is 4131640399. The next prime is 4131640427. The reversal of 4131640410 is 140461314.

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 31 ways as a sum of consecutive naturals, for example, 321264 + ... + 333876.

It is an arithmetic number, because the mean of its divisors is an integer number (158368770).

Almost surely, 2^4131640410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131640410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067800640).

4131640410 is an abundant number, since it is smaller than the sum of its proper divisors (6003960870).

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

4131640410 is a wasteful number, since it uses less digits than its factorization.

4131640410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12863.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4131640410 is about 64277.8376269768. The cubic root of 4131640410 is about 1604.6272831413.

The spelling of 4131640410 in words is "four billion, one hundred thirty-one million, six hundred forty thousand, four hundred ten".