4041001016 has 128 divisors (see below), whose sum is σ = 8821612800. Its totient is φ = 1719843840.

The previous prime is 4041000989. The next prime is 4041001033. The reversal of 4041001016 is 6101001404.

It is a super-2 number, since 2×4041001016² = 32659378422626064512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4041000985 and 4041001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17343236 + ... + 17343468.

It is an arithmetic number, because the mean of its divisors is an integer number (68918850).

Almost surely, 2^4041001016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410806400).

4041001016 is an abundant number, since it is smaller than the sum of its proper divisors (4780611784).

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

4041001016 is a wasteful number, since it uses less digits than its factorization.

4041001016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 4041001016 is about 63568.8682925849. The cubic root of 4041001016 is about 1592.8063798222.

The spelling of 4041001016 in words is "four billion, forty-one million, one thousand, sixteen".