10309831424640 has 1280 divisors, whose sum is σ = 43312422384000. Its totient is φ = 2309957222400.

The previous prime is 10309831424617. The next prime is 10309831424647. The reversal of 10309831424640 is 4642413890301.

10309831424640 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 98 + 314 + 246 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10309831424647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 444205356 + ... + 444228564.

Almost surely, 2^{10309831424640} is an apocalyptic number.

10309831424640 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 10309831424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21656211192000).

10309831424640 is an abundant number, since it is smaller than the sum of its proper divisors (33002590959360).

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

10309831424640 is a wasteful number, since it uses less digits than its factorization.

10309831424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23311 (or 23290 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10309831424640 in words is "ten trillion, three hundred nine billion, eight hundred thirty-one million, four hundred twenty-four thousand, six hundred forty".