31434413440 has 128 divisors (see below), whose sum is σ = 76192384320. Its totient is φ = 12400066560.

The previous prime is 31434413377. The next prime is 31434413477. The reversal of 31434413440 is 4431443413.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18522672 + ... + 18524368.

Almost surely, 2^31434413440 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 31434413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38096192160).

31434413440 is an abundant number, since it is smaller than the sum of its proper divisors (44757970880).

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

31434413440 is a wasteful number, since it uses less digits than its factorization.

31434413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 31434413440 its reverse (4431443413), we get a palindrome (35865856853).

The spelling of 31434413440 in words is "thirty-one billion, four hundred thirty-four million, four hundred thirteen thousand, four hundred forty".