305125040000 has 320 divisors, whose sum is σ = 837091482480. Its totient is φ = 109824000000.

The previous prime is 305125039963. The next prime is 305125040083. The reversal of 305125040000 is 40521503.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 88878284 + ... + 88881716.

Almost surely, 2^305125040000 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 305125040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418545741240).

305125040000 is an abundant number, since it is smaller than the sum of its proper divisors (531966442480).

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

305125040000 is a wasteful number, since it uses less digits than its factorization.

305125040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 305125040000 its reverse (40521503), we get a palindrome (305165561503).

The spelling of 305125040000 in words is "three hundred five billion, one hundred twenty-five million, forty thousand".