4010022645264 has 160 divisors (see below), whose sum is σ = 11629609050240. Its totient is φ = 1322838563328.

The previous prime is 4010022645259. The next prime is 4010022645269. The reversal of 4010022645264 is 4625462200104.

4010022645264 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 0 + 2 + 2 + 645 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4010022645259) and next prime (4010022645269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4010022645269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46041822 + ... + 46128834.

It is an arithmetic number, because the mean of its divisors is an integer number (72685056564).

Almost surely, 2^{4010022645264} 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 4010022645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814804525120).

4010022645264 is an abundant number, since it is smaller than the sum of its proper divisors (7619586404976).

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

4010022645264 is a wasteful number, since it uses less digits than its factorization.

4010022645264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88134 (or 88122 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4010022645264 its reverse (4625462200104), we get a palindrome (8635484845368).

The spelling of 4010022645264 in words is "four trillion, ten billion, twenty-two million, six hundred forty-five thousand, two hundred sixty-four".