305940390000 has 800 divisors, whose sum is σ = 1166218690560. Its totient is φ = 67644288000.

The previous prime is 305940389977. The next prime is 305940390137. The reversal of 305940390000 is 93049503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1371929889 + ... + 1371930111.

Almost surely, 2^305940390000 is an apocalyptic number.

305940390000 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 305940390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583109345280).

305940390000 is an abundant number, since it is smaller than the sum of its proper divisors (860278300560).

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

305940390000 is a wasteful number, since it uses less digits than its factorization.

305940390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 305940390000 in words is "three hundred five billion, nine hundred forty million, three hundred ninety thousand".