4050901440 has 504 divisors, whose sum is σ = 15376013952. Its totient is φ = 977633280.

The previous prime is 4050901429. The next prime is 4050901493. The reversal of 4050901440 is 441090504.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 25801842 + ... + 25801998.

Almost surely, 2^4050901440 is an apocalyptic number.

4050901440 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 4050901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688006976).

4050901440 is an abundant number, since it is smaller than the sum of its proper divisors (11325112512).

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

4050901440 is a wasteful number, since it uses less digits than its factorization.

4050901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4050901440 is about 63646.6922942583. The cubic root of 4050901440 is about 1594.1061070923.

Adding to 4050901440 its reverse (441090504), we get a palindrome (4491991944).

The spelling of 4050901440 in words is "four billion, fifty million, nine hundred one thousand, four hundred forty".