304746125040 has 480 divisors, whose sum is σ = 1233556047360. Its totient is φ = 68473838592.

The previous prime is 304746124993. The next prime is 304746125051. The reversal of 304746125040 is 40521647403.

304746125040 is a `hidden beast` number, since 30 + 4 + 7 + 4 + 612 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304746124986 and 304746125004.

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 95 ways as a sum of consecutive naturals, for example, 8009742 + ... + 8047698.

It is an arithmetic number, because the mean of its divisors is an integer number (2569908432).

Almost surely, 2^304746125040 is an apocalyptic number.

304746125040 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 304746125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616778023680).

304746125040 is an abundant number, since it is smaller than the sum of its proper divisors (928809922320).

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

304746125040 is a wasteful number, since it uses less digits than its factorization.

304746125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38051 (or 38033 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 304746125040 in words is "three hundred four billion, seven hundred forty-six million, one hundred twenty-five thousand, forty".