309812631040 has 320 divisors, whose sum is σ = 849139365888. Its totient is φ = 107377459200.

The previous prime is 309812631013. The next prime is 309812631041. The reversal of 309812631040 is 40136218903.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309812631041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58485672 + ... + 58490968.

Almost surely, 2^309812631040 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 309812631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569682944).

309812631040 is an abundant number, since it is smaller than the sum of its proper divisors (539326734848).

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

309812631040 is a wasteful number, since it uses less digits than its factorization.

309812631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 309812631040 its reverse (40136218903), we get a palindrome (349948849943).

The spelling of 309812631040 in words is "three hundred nine billion, eight hundred twelve million, six hundred thirty-one thousand, forty".