4090511640 has 64 divisors (see below), whose sum is σ = 12444399360. Its totient is φ = 1075437440.

The previous prime is 4090511629. The next prime is 4090511651. The reversal of 4090511640 is 461150904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4090511629) and next prime (4090511651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4090511598 and 4090511607.

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 15 ways as a sum of consecutive naturals, for example, 231534 + ... + 248573.

It is an arithmetic number, because the mean of its divisors is an integer number (194443740).

Almost surely, 2^4090511640 is an apocalyptic number.

4090511640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4090511640 is an abundant number, since it is smaller than the sum of its proper divisors (8353887720).

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

4090511640 is a wasteful number, since it uses less digits than its factorization.

4090511640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480192 (or 480188 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 4090511640 is about 63957.1078145346. The cubic root of 4090511640 is about 1599.2850503686.

The spelling of 4090511640 in words is "four billion, ninety million, five hundred eleven thousand, six hundred forty".