10031534240000 has 360 divisors, whose sum is σ = 30796160324160. Its totient is φ = 3174810624000.

The previous prime is 10031534239967. The next prime is 10031534240003. The reversal of 10031534240000 is 4243513001.

It is not an unprimeable number, because it can be changed into a prime (10031534240003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14215511 + ... + 14904489.

Almost surely, 2^{10031534240000} is an apocalyptic number.

10031534240000 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 10031534240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398080162080).

10031534240000 is an abundant number, since it is smaller than the sum of its proper divisors (20764626084160).

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

10031534240000 is an frugal number, since it uses more digits than its factorization.

10031534240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689035 (or 689006 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10031534240000 its reverse (4243513001), we get a palindrome (10035777753001).

The spelling of 10031534240000 in words is "ten trillion, thirty-one billion, five hundred thirty-four million, two hundred forty thousand".