309094379440 has 240 divisors, whose sum is σ = 965619473184. Its totient is φ = 90673766400.

The previous prime is 309094379417. The next prime is 309094379443. The reversal of 309094379440 is 44973490903.

It is not an unprimeable number, because it can be changed into a prime (309094379443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522210 + ... + 943870.

Almost surely, 2^309094379440 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 309094379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482809736592).

309094379440 is an abundant number, since it is smaller than the sum of its proper divisors (656525093744).

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

309094379440 is a wasteful number, since it uses less digits than its factorization.

309094379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421716 (or 421703 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 309094379440 in words is "three hundred nine billion, ninety-four million, three hundred seventy-nine thousand, four hundred forty".