10302577340 has 96 divisors (see below), whose sum is σ = 23809512384. Its totient is φ = 3713679360.

The previous prime is 10302577319. The next prime is 10302577357. The reversal of 10302577340 is 4377520301.

10302577340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10302577340³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10302577297 and 10302577306.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17855132 + ... + 17855708.

It is an arithmetic number, because the mean of its divisors is an integer number (248015754).

Almost surely, 2^10302577340 is an apocalyptic number.

10302577340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302577340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904756192).

10302577340 is an abundant number, since it is smaller than the sum of its proper divisors (13506935044).

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

10302577340 is a wasteful number, since it uses less digits than its factorization.

10302577340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The spelling of 10302577340 in words is "ten billion, three hundred two million, five hundred seventy-seven thousand, three hundred forty".