4100577640 has 16 divisors (see below), whose sum is σ = 9226299780. Its totient is φ = 1640231040.

The previous prime is 4100577629. The next prime is 4100577659. The reversal of 4100577640 is 467750014.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3857155236 + 243422404 = 62106^2 + 15602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4100577596 and 4100577605.

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 3 ways as a sum of consecutive naturals, for example, 51257181 + ... + 51257260.

Almost surely, 2^4100577640 is an apocalyptic number.

4100577640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100577640 is an abundant number, since it is smaller than the sum of its proper divisors (5125722140).

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

4100577640 is a wasteful number, since it uses less digits than its factorization.

4100577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102514452 (or 102514448 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 4100577640 is about 64035.7528260580. The cubic root of 4100577640 is about 1600.5958249678.

The spelling of 4100577640 in words is "four billion, one hundred million, five hundred seventy-seven thousand, six hundred forty".