309812040000 has 350 divisors, whose sum is σ = 1147619576994. Its totient is φ = 82615680000.

The previous prime is 309812039921. The next prime is 309812040001. The reversal of 309812040000 is 40218903.

It can be written as a sum of positive squares in 5 ways, for example, as 112718661696 + 197093378304 = 335736^2 + 443952^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309812040001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3192190 + ... + 3287810.

Almost surely, 2^309812040000 is an apocalyptic number.

309812040000 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 309812040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573809788497).

309812040000 is an abundant number, since it is smaller than the sum of its proper divisors (837807536994).

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

309812040000 is an frugal number, since it uses more digits than its factorization.

309812040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95665 (or 95631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 309812040000 its reverse (40218903), we get a palindrome (309852258903).

The spelling of 309812040000 in words is "three hundred nine billion, eight hundred twelve million, forty thousand".