31441313400 has 192 divisors, whose sum is σ = 112962055680. Its totient is φ = 7085299200.

The previous prime is 31441313381. The next prime is 31441313413. The reversal of 31441313400 is 431314413.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 245482 + ... + 350918.

It is an arithmetic number, because the mean of its divisors is an integer number (588344040).

Almost surely, 2^31441313400 is an apocalyptic number.

31441313400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31441313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56481027840).

31441313400 is an abundant number, since it is smaller than the sum of its proper divisors (81520742280).

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

31441313400 is a wasteful number, since it uses less digits than its factorization.

31441313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105534 (or 105525 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31441313400 its reverse (431314413), we get a palindrome (31872627813).

The spelling of 31441313400 in words is "thirty-one billion, four hundred forty-one million, three hundred thirteen thousand, four hundred".