4010391264 has 192 divisors, whose sum is σ = 11796503040. Its totient is φ = 1182720000.

The previous prime is 4010391263. The next prime is 4010391269. The reversal of 4010391264 is 4621930104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010391263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6672564 + ... + 6673164.

It is an arithmetic number, because the mean of its divisors is an integer number (61440120).

Almost surely, 2^4010391264 is an apocalyptic number.

4010391264 is a gapful number since it is divisible by the number (44) 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 4010391264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898251520).

4010391264 is an abundant number, since it is smaller than the sum of its proper divisors (7786111776).

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

4010391264 is a wasteful number, since it uses less digits than its factorization.

4010391264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4010391264 is about 63327.6500748291. The cubic root of 4010391264 is about 1588.7744553212.

The spelling of 4010391264 in words is "four billion, ten million, three hundred ninety-one thousand, two hundred sixty-four".