10031632316240 has 160 divisors (see below), whose sum is σ = 23662010596896. Its totient is φ = 3954814156800.

The previous prime is 10031632316231. The next prime is 10031632316263. The reversal of 10031632316240 is 4261323613001.

It can be written as a sum of positive squares in 16 ways, for example, as 6924013347904 + 3107618968336 = 2631352^2 + 1762844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10031632316197 and 10031632316206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4192072484 + ... + 4192074876.

Almost surely, 2^{10031632316240} is an apocalyptic number.

10031632316240 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 10031632316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831005298448).

10031632316240 is an abundant number, since it is smaller than the sum of its proper divisors (13630378280656).

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

10031632316240 is a wasteful number, since it uses less digits than its factorization.

10031632316240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 10031632316240 its reverse (4261323613001), we get a palindrome (14292955929241).

The spelling of 10031632316240 in words is "ten trillion, thirty-one billion, six hundred thirty-two million, three hundred sixteen thousand, two hundred forty".