10216456340 has 36 divisors (see below), whose sum is σ = 22790841276. Its totient is φ = 3846193152.

The previous prime is 10216456307. The next prime is 10216456363. The reversal of 10216456340 is 4365461201.

It can be written as a sum of positive squares in 6 ways, for example, as 2973084676 + 7243371664 = 54526^2 + 85108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10216456297 and 10216456306.

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 11 ways as a sum of consecutive naturals, for example, 877997 + ... + 889556.

Almost surely, 2^10216456340 is an apocalyptic number.

10216456340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216456340 is an abundant number, since it is smaller than the sum of its proper divisors (12574384936).

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

10216456340 is a wasteful number, since it uses less digits than its factorization.

10216456340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767596 (or 1767577 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 10216456340 in words is "ten billion, two hundred sixteen million, four hundred fifty-six thousand, three hundred forty".