4005076950 has 144 divisors (see below), whose sum is σ = 12319497216. Its totient is φ = 913809600.

The previous prime is 4005076921. The next prime is 4005076969. The reversal of 4005076950 is 596705004.

4005076950 is a `hidden beast` number, since 40 + 0 + 507 + 69 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3121009 + ... + 3122291.

It is an arithmetic number, because the mean of its divisors is an integer number (85552064).

Almost surely, 2^4005076950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005076950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159748608).

4005076950 is an abundant number, since it is smaller than the sum of its proper divisors (8314420266).

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

4005076950 is a wasteful number, since it uses less digits than its factorization.

4005076950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4005076950 is about 63285.6772895732. The cubic root of 4005076950 is about 1588.0723643442.

The spelling of 4005076950 in words is "four billion, five million, seventy-six thousand, nine hundred fifty".