10040841616 has 135 divisors (see below), whose sum is σ = 22061224803. Its totient is φ = 4425008640.

The previous prime is 10040841611. The next prime is 10040841623. The reversal of 10040841616 is 61614804001.

The square root of 10040841616 is 100204.

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 6687968400 + 3352873216 = 81780^2 + 57904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10040841611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213634905 + ... + 213634951.

Almost surely, 2^10040841616 is an apocalyptic number.

10040841616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10040841616 is the 100204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040841616

10040841616 is an abundant number, since it is smaller than the sum of its proper divisors (12020383187).

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

10040841616 is an equidigital number, since it uses as much as digits as its factorization.

10040841616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 10040841616 in words is "ten billion, forty million, eight hundred forty-one thousand, six hundred sixteen".