309940942752 has 240 divisors, whose sum is σ = 1044178293312. Its totient is φ = 88347801600.

The previous prime is 309940942733. The next prime is 309940942777. The reversal of 309940942752 is 257249049903.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7836627 + ... + 7876077.

Almost surely, 2^309940942752 is an apocalyptic number.

309940942752 is a gapful number since it is divisible by the number (32) 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 309940942752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522089146656).

309940942752 is an abundant number, since it is smaller than the sum of its proper divisors (734237350560).

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

309940942752 is a wasteful number, since it uses less digits than its factorization.

309940942752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39913 (or 39896 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 309940942752 in words is "three hundred nine billion, nine hundred forty million, nine hundred forty-two thousand, seven hundred fifty-two".