31305440400 has 240 divisors, whose sum is σ = 110296107264. Its totient is φ = 7541821440.

The previous prime is 31305440399. The next prime is 31305440417. The reversal of 31305440400 is 404450313.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 711852 + ... + 754548.

Almost surely, 2^31305440400 is an apocalyptic number.

31305440400 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 31305440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55148053632).

31305440400 is an abundant number, since it is smaller than the sum of its proper divisors (78990666864).

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

31305440400 is a wasteful number, since it uses less digits than its factorization.

31305440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42778 (or 42767 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 31305440400 its reverse (404450313), we get a palindrome (31709890713).

The spelling of 31305440400 in words is "thirty-one billion, three hundred five million, four hundred forty thousand, four hundred".