4131001640 has 64 divisors (see below), whose sum is σ = 9433324800. Its totient is φ = 1627861248.

The previous prime is 4131001613. The next prime is 4131001663. The reversal of 4131001640 is 461001314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758947 + ... + 1761293.

It is an arithmetic number, because the mean of its divisors is an integer number (147395700).

Almost surely, 2^4131001640 is an apocalyptic number.

4131001640 is a gapful number since it is divisible by the number (40) 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 4131001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716662400).

4131001640 is an abundant number, since it is smaller than the sum of its proper divisors (5302323160).

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

4131001640 is a wasteful number, since it uses less digits than its factorization.

4131001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4131001640 is about 64272.8686149918. The cubic root of 4131001640 is about 1604.5445847056.

Adding to 4131001640 its reverse (461001314), we get a palindrome (4592002954).

The spelling of 4131001640 in words is "four billion, one hundred thirty-one million, one thousand, six hundred forty".