4050984960 has 672 divisors, whose sum is σ = 16315895232. Its totient is φ = 955514880.

The previous prime is 4050984853. The next prime is 4050985013. The reversal of 4050984960 is 694890504.

It is a happy number.

4050984960 is a `hidden beast` number, since 4 + 0 + 509 + 84 + 9 + 60 = 666.

It is a super-2 number, since 2×4050984960² = 32820958292292403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109486062 + ... + 109486098.

It is an arithmetic number, because the mean of its divisors is an integer number (24279606).

Almost surely, 2^4050984960 is an apocalyptic number.

4050984960 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 4050984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157947616).

4050984960 is an abundant number, since it is smaller than the sum of its proper divisors (12264910272).

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

4050984960 is an equidigital number, since it uses as much as digits as its factorization.

4050984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4050984960 is about 63647.3484129543. The cubic root of 4050984960 is about 1594.1170625820.

The spelling of 4050984960 in words is "four billion, fifty million, nine hundred eighty-four thousand, nine hundred sixty".