4131413440 has 336 divisors, whose sum is σ = 13228259040. Its totient is φ = 1211105280.

The previous prime is 4131413413. The next prime is 4131413471. The reversal of 4131413440 is 443141314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2931456 + ... + 2932864.

Almost surely, 2^4131413440 is an apocalyptic number.

4131413440 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 4131413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614129520).

4131413440 is an abundant number, since it is smaller than the sum of its proper divisors (9096845600).

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

4131413440 is a wasteful number, since it uses less digits than its factorization.

4131413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4131413440 is about 64276.0720641826. The cubic root of 4131413440 is about 1604.5978994190.

Adding to 4131413440 its reverse (443141314), we get a palindrome (4574554754).

The spelling of 4131413440 in words is "four billion, one hundred thirty-one million, four hundred thirteen thousand, four hundred forty".