4131408000 has 512 divisors, whose sum is σ = 14916545280. Its totient is φ = 1007616000.

The previous prime is 4131407999. The next prime is 4131408019. The reversal of 4131408000 is 8041314.

It is a super-3 number, since 3×4131408000³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49775959 + ... + 49776041.

Almost surely, 2^4131408000 is an apocalyptic number.

4131408000 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 4131408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458272640).

4131408000 is an abundant number, since it is smaller than the sum of its proper divisors (10785137280).

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

4131408000 is a wasteful number, since it uses less digits than its factorization.

4131408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4131408000 is about 64276.0297467104. The cubic root of 4131408000 is about 1604.5971951389.

Adding to 4131408000 its reverse (8041314), we get a palindrome (4139449314).

The spelling of 4131408000 in words is "four billion, one hundred thirty-one million, four hundred eight thousand".