31046400000 has 1296 divisors, whose sum is σ = 142228162440. Its totient is φ = 6451200000.

The previous prime is 31046399959. The next prime is 31046400013. The reversal of 31046400000 is 464013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2822399995 + ... + 2822400005.

Almost surely, 2^31046400000 is an apocalyptic number.

31046400000 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 31046400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71114081220).

31046400000 is an abundant number, since it is smaller than the sum of its proper divisors (111181762440).

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

31046400000 is an equidigital number, since it uses as much as digits as its factorization.

31046400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31046400000 its reverse (464013), we get a palindrome (31046864013).

The spelling of 31046400000 in words is "thirty-one billion, forty-six million, four hundred thousand".