31442144420240 has 40 divisors (see below), whose sum is σ = 75623778395640. Its totient is φ = 12143173016576.

The previous prime is 31442144420233. The next prime is 31442144420249. The reversal of 31442144420240 is 4202444124413.

It can be written as a sum of positive squares in 4 ways, for example, as 5893325824 + 31436251094416 = 76768^2 + 5606804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 31442144420240.

It is not an unprimeable number, because it can be changed into a prime (31442144420249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6776321909 + ... + 6776326548.

It is an arithmetic number, because the mean of its divisors is an integer number (1890594459891).

Almost surely, 2^{31442144420240} is an apocalyptic number.

It is an amenable number.

31442144420240 is an abundant number, since it is smaller than the sum of its proper divisors (44181633975400).

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

31442144420240 is a wasteful number, since it uses less digits than its factorization.

31442144420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13552648499 (or 13552648493 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 31442144420240 its reverse (4202444124413), we get a palindrome (35644588544653).

The spelling of 31442144420240 in words is "thirty-one trillion, four hundred forty-two billion, one hundred forty-four million, four hundred twenty thousand, two hundred forty".