305253035040 has 192 divisors, whose sum is σ = 977797941120. Its totient is φ = 80036536320.

The previous prime is 305253035039. The next prime is 305253035053. The reversal of 305253035040 is 40530352503.

It is a super-2 number, since 2×305253035040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 305253034989 and 305253035007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831652 + ... + 6876188.

It is an arithmetic number, because the mean of its divisors is an integer number (5092697610).

Almost surely, 2^305253035040 is an apocalyptic number.

305253035040 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 305253035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488898970560).

305253035040 is an abundant number, since it is smaller than the sum of its proper divisors (672544906080).

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

305253035040 is a wasteful number, since it uses less digits than its factorization.

305253035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44795 (or 44787 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

Adding to 305253035040 its reverse (40530352503), we get a palindrome (345783387543).

The spelling of 305253035040 in words is "three hundred five billion, two hundred fifty-three million, thirty-five thousand, forty".