31430616440 has 128 divisors (see below), whose sum is σ = 76738233600. Its totient is φ = 11558615040.

The previous prime is 31430616439. The next prime is 31430616461. The reversal of 31430616440 is 4461603413.

It is a super-3 number, since 3×31430616440³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31430616397 and 31430616406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2009450 + ... + 2025030.

It is an arithmetic number, because the mean of its divisors is an integer number (599517450).

Almost surely, 2^31430616440 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 31430616440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38369116800).

31430616440 is an abundant number, since it is smaller than the sum of its proper divisors (45307617160).

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

31430616440 is a wasteful number, since it uses less digits than its factorization.

31430616440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15705 (or 15701 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 31430616440 in words is "thirty-one billion, four hundred thirty million, six hundred sixteen thousand, four hundred forty".