31415442413440 has 128 divisors (see below), whose sum is σ = 76552451313120. Its totient is φ = 12323781550080.

The previous prime is 31415442413359. The next prime is 31415442413479. The reversal of 31415442413440 is 4431424451413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 31415442413393 and 31415442413402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79208907 + ... + 79604533.

Almost surely, 2^{31415442413440} 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 31415442413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38276225656560).

31415442413440 is an abundant number, since it is smaller than the sum of its proper divisors (45137008899680).

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

31415442413440 is a wasteful number, since it uses less digits than its factorization.

31415442413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398040 (or 398028 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 31415442413440 its reverse (4431424451413), we get a palindrome (35846866864853).

The spelling of 31415442413440 in words is "thirty-one trillion, four hundred fifteen billion, four hundred forty-two million, four hundred thirteen thousand, four hundred forty".