309953822940 has 768 divisors, whose sum is σ = 1099635264000. Its totient is φ = 72088289280.

The previous prime is 309953822897. The next prime is 309953823019. The reversal of 309953822940 is 49228359903.

It is a super-3 number, since 3×309953822940³ (a number of 35 digits) contains 333 as substring.

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

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 255 ways as a sum of consecutive naturals, for example, 796796266 + ... + 796796654.

It is an arithmetic number, because the mean of its divisors is an integer number (1431816750).

Almost surely, 2^309953822940 is an apocalyptic number.

309953822940 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 309953822940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549817632000).

309953822940 is an abundant number, since it is smaller than the sum of its proper divisors (789681441060).

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

309953822940 is a wasteful number, since it uses less digits than its factorization.

309953822940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 309953822940 in words is "three hundred nine billion, nine hundred fifty-three million, eight hundred twenty-two thousand, nine hundred forty".