10032531040000 has 360 divisors, whose sum is σ = 28668513614048. Its totient is φ = 3431393280000.

The previous prime is 10032531039961. The next prime is 10032531040009. The reversal of 10032531040000 is 4013523001.

It is a self number, because there is not a number n which added to its sum of digits gives 10032531040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032531040009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471509362 + ... + 471530638.

Almost surely, 2^{10032531040000} is an apocalyptic number.

10032531040000 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 10032531040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334256807024).

10032531040000 is an abundant number, since it is smaller than the sum of its proper divisors (18635982574048).

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

10032531040000 is an frugal number, since it uses more digits than its factorization.

10032531040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21741 (or 21712 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10032531040000 its reverse (4013523001), we get a palindrome (10036544563001).

The spelling of 10032531040000 in words is "ten trillion, thirty-two billion, five hundred thirty-one million, forty thousand".