4050581040 has 320 divisors, whose sum is σ = 15334732800. Its totient is φ = 974592000.

The previous prime is 4050581009. The next prime is 4050581047. The reversal of 4050581040 is 401850504.

4050581040 is a `hidden beast` number, since 40 + 5 + 0 + 581 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4050580995 and 4050581013.

It is not an unprimeable number, because it can be changed into a prime (4050581047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3587196 + ... + 3588324.

It is an arithmetic number, because the mean of its divisors is an integer number (47921040).

Almost surely, 2^4050581040 is an apocalyptic number.

4050581040 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 4050581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667366400).

4050581040 is an abundant number, since it is smaller than the sum of its proper divisors (11284151760).

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

4050581040 is a wasteful number, since it uses less digits than its factorization.

4050581040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4050581040 is about 63644.1752244461. The cubic root of 4050581040 is about 1594.0640781702.

The spelling of 4050581040 in words is "four billion, fifty million, five hundred eighty-one thousand, forty".