10339313040 has 400 divisors, whose sum is σ = 41457132288. Its totient is φ = 2339269632.

The previous prime is 10339313021. The next prime is 10339313059. The reversal of 10339313040 is 4031393301.

10339313040 is a `hidden beast` number, since 10 + 339 + 313 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10339313021) and next prime (10339313059).

It is a super-2 number, since 2×10339313040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10339312995 and 10339313013.

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 79 ways as a sum of consecutive naturals, for example, 4670974 + ... + 4673186.

Almost surely, 2^10339313040 is an apocalyptic number.

10339313040 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 10339313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20728566144).

10339313040 is an abundant number, since it is smaller than the sum of its proper divisors (31117819248).

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

10339313040 is a wasteful number, since it uses less digits than its factorization.

10339313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 10339313040 in words is "ten billion, three hundred thirty-nine million, three hundred thirteen thousand, forty".