4400090415 has 96 divisors (see below), whose sum is σ = 8935280640. Its totient is φ = 1961286912.

The previous prime is 4400090363. The next prime is 4400090423. The reversal of 4400090415 is 5140900044.

It is not a de Polignac number, because 4400090415 - 2¹¹ = 4400088367 is a prime.

It is a super-3 number, since 3×4400090415³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6499057 + ... + 6499733.

It is an arithmetic number, because the mean of its divisors is an integer number (93075840).

Almost surely, 2^4400090415 is an apocalyptic number.

4400090415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4400090415 is an abundant number, since it is smaller than the sum of its proper divisors (4535190225).

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

4400090415 is a wasteful number, since it uses less digits than its factorization.

4400090415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4400090415 is about 66333.1773323124. The cubic root of 4400090415 is about 1638.6537652051.

Adding to 4400090415 its reverse (5140900044), we get a palindrome (9540990459).

The spelling of 4400090415 in words is "four billion, four hundred million, ninety thousand, four hundred fifteen".