31041413440000 has 400 divisors, whose sum is σ = 79726434074496. Its totient is φ = 12061440000000.

The previous prime is 31041413439991. The next prime is 31041413440027. The reversal of 31041413440000 is 4431414013.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8891838255 + ... + 8891841745.

Almost surely, 2^{31041413440000} 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 31041413440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39863217037248).

31041413440000 is an abundant number, since it is smaller than the sum of its proper divisors (48685020634496).

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

31041413440000 is an frugal number, since it uses more digits than its factorization.

31041413440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31041413440000 its reverse (4431414013), we get a palindrome (31045844854013).

The spelling of 31041413440000 in words is "thirty-one trillion, forty-one billion, four hundred thirteen million, four hundred forty thousand".