4022631072 has 120 divisors (see below), whose sum is σ = 11857576500. Its totient is φ = 1337803776.

The previous prime is 4022631043. The next prime is 4022631089. The reversal of 4022631072 is 2701362204.

4022631072 is a `hidden beast` number, since 4 + 0 + 22 + 631 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4009928976 + 12702096 = 63324^2 + 3564^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 1317804 + ... + 1320852.

Almost surely, 2^4022631072 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 4022631072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928788250).

4022631072 is an abundant number, since it is smaller than the sum of its proper divisors (7834945428).

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

4022631072 is a wasteful number, since it uses less digits than its factorization.

4022631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4022631072 is about 63424.2151863151. The cubic root of 4022631072 is about 1590.3891393567.

Adding to 4022631072 its reverse (2701362204), we get a palindrome (6723993276).

The spelling of 4022631072 in words is "four billion, twenty-two million, six hundred thirty-one thousand, seventy-two".