4090627072 has 176 divisors, whose sum is σ = 9904204800. Its totient is φ = 1651507200.

The previous prime is 4090627063. The next prime is 4090627133. The reversal of 4090627072 is 2707260904.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9110304 + ... + 9110752.

Almost surely, 2^4090627072 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 4090627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952102400).

4090627072 is an abundant number, since it is smaller than the sum of its proper divisors (5813577728).

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

4090627072 is a wasteful number, since it uses less digits than its factorization.

4090627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 4090627072 is about 63958.0102254596. The cubic root of 4090627072 is about 1599.3000938768.

Adding to 4090627072 its reverse (2707260904), we get a palindrome (6797887976).

The spelling of 4090627072 in words is "four billion, ninety million, six hundred twenty-seven thousand, seventy-two".