10016834440 has 32 divisors (see below), whose sum is σ = 22543136280. Its totient is φ = 4005798912.

The previous prime is 10016834431. The next prime is 10016834441. The reversal of 10016834440 is 4443861001.

It can be written as a sum of positive squares in 4 ways, for example, as 7011382756 + 3005451684 = 83734^2 + 54822^2 .

It is a super-2 number, since 2×10016834440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10016834441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 159394 + ... + 213166.

Almost surely, 2^10016834440 is an apocalyptic number.

10016834440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10016834440 is an abundant number, since it is smaller than the sum of its proper divisors (12526301840).

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

10016834440 is a wasteful number, since it uses less digits than its factorization.

10016834440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58441 (or 58437 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 10016834440 in words is "ten billion, sixteen million, eight hundred thirty-four thousand, four hundred forty".