305305005041640 has 256 divisors, whose sum is σ = 1021220171769600. Its totient is φ = 81131945241600.

The previous prime is 305305005041633. The next prime is 305305005041669. The reversal of 305305005041640 is 46140500503503.

305305005041640 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 0 + 5 + 0 + 0 + 5 + 0 + 4 + 1 + 640 = 666.

It is a super-2 number, since 2×305305005041640² (a number of 30 digits) contains 22 as substring.

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 = 305305005041595 and 305305005041604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 793770814 + ... + 794155346.

It is an arithmetic number, because the mean of its divisors is an integer number (3989141295975).

Almost surely, 2^{305305005041640} is an apocalyptic number.

305305005041640 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 305305005041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510610085884800).

305305005041640 is an abundant number, since it is smaller than the sum of its proper divisors (715915166727960).

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

305305005041640 is a wasteful number, since it uses less digits than its factorization.

305305005041640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387105 (or 387095 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 305305005041640 in words is "three hundred five trillion, three hundred five billion, five million, forty-one thousand, six hundred forty".