4001989950 has 384 divisors, whose sum is σ = 13713408000. Its totient is φ = 837475200.

The previous prime is 4001989939. The next prime is 4001989961. The reversal of 4001989950 is 599891004.

4001989950 is a `hidden beast` number, since 400 + 198 + 9 + 9 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (4001989939) and next prime (4001989961).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4001989896 and 4001989905.

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 191 ways as a sum of consecutive naturals, for example, 5565691 + ... + 5566409.

It is an arithmetic number, because the mean of its divisors is an integer number (35712000).

Almost surely, 2^4001989950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001989950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704000).

4001989950 is an abundant number, since it is smaller than the sum of its proper divisors (9711418050).

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

4001989950 is a wasteful number, since it uses less digits than its factorization.

4001989950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 4001989950 is about 63261.2831833184. The cubic root of 4001989950 is about 1587.6642457214.

The spelling of 4001989950 in words is "four billion, one million, nine hundred eighty-nine thousand, nine hundred fifty".