31401442311440 has 40 divisors (see below), whose sum is σ = 73080710701080. Its totient is φ = 12548128352256.

The previous prime is 31401442311439. The next prime is 31401442311487. The reversal of 31401442311440 is 4411324410413.

It can be written as a sum of positive squares in 4 ways, for example, as 320772711424 + 31080669600016 = 566368^2 + 5575004^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 31401442311397 and 31401442311406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194427719 + ... + 194589158.

It is an arithmetic number, because the mean of its divisors is an integer number (1827017767527).

Almost surely, 2^{31401442311440} is an apocalyptic number.

It is an amenable number.

31401442311440 is an abundant number, since it is smaller than the sum of its proper divisors (41679268389640).

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

31401442311440 is a wasteful number, since it uses less digits than its factorization.

31401442311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389017899 (or 389017893 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 31401442311440 its reverse (4411324410413), we get a palindrome (35812766721853).

The spelling of 31401442311440 in words is "thirty-one trillion, four hundred one billion, four hundred forty-two million, three hundred eleven thousand, four hundred forty".