31440340532000 has 192 divisors, whose sum is σ = 81931006501344. Its totient is φ = 11816388198400.

The previous prime is 31440340531939. The next prime is 31440340532033. The reversal of 31440340532000 is 23504304413.

It can be written as a sum of positive squares in 16 ways, for example, as 4396721210896 + 27043619321104 = 2096836^2 + 5200348^2 .

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, 39934154 + ... + 40713846.

Almost surely, 2^{31440340532000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440340532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965503250672).

31440340532000 is an abundant number, since it is smaller than the sum of its proper divisors (50490665969344).

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

31440340532000 is a wasteful number, since it uses less digits than its factorization.

31440340532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780328 (or 780310 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 31440340532000 its reverse (23504304413), we get a palindrome (31463844836413).

The spelling of 31440340532000 in words is "thirty-one trillion, four hundred forty billion, three hundred forty million, five hundred thirty-two thousand".