4040890624 has 81 divisors (see below), whose sum is σ = 8415146467. Its totient is φ = 1936535552.

The previous prime is 4040890591. The next prime is 4040890627. The reversal of 4040890624 is 4260980404.

The square root of 4040890624 is 63568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 50694400 + 3990196224 = 7120^2 + 63168^2 .

It is a super-2 number, since 2×4040890624² = 32657594070262218752, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4040890627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29495484 + ... + 29495620.

Almost surely, 2^4040890624 is an apocalyptic number.

4040890624 is the 63568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040890624

4040890624 is an abundant number, since it is smaller than the sum of its proper divisors (4374255843).

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

4040890624 is an frugal number, since it uses more digits than its factorization.

4040890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The cubic root of 4040890624 is about 1592.7918756039.

The spelling of 4040890624 in words is "four billion, forty million, eight hundred ninety thousand, six hundred twenty-four".