31241144000 has 224 divisors, whose sum is σ = 85202694720. Its totient is φ = 11252736000.

The previous prime is 31241143987. The next prime is 31241144027. The reversal of 31241144000 is 44114213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9590372 + ... + 9593628.

Almost surely, 2^31241144000 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 31241144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42601347360).

31241144000 is an abundant number, since it is smaller than the sum of its proper divisors (53961550720).

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

31241144000 is a wasteful number, since it uses less digits than its factorization.

31241144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31241144000 its reverse (44114213), we get a palindrome (31285258213).

The spelling of 31241144000 in words is "thirty-one billion, two hundred forty-one million, one hundred forty-four thousand".