305142314332400 has 30 divisors (see below), whose sum is σ = 733104410184552. Its totient is φ = 122056925732800.

The previous prime is 305142314332253. The next prime is 305142314332403. The reversal of 305142314332400 is 4233413241503.

It is a super-2 number, since 2×305142314332400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305142314332403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 381427892516 + ... + 381427893315.

Almost surely, 2^{305142314332400} is an apocalyptic number.

It is an amenable number.

305142314332400 is an abundant number, since it is smaller than the sum of its proper divisors (427962095852152).

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

305142314332400 is a wasteful number, since it uses less digits than its factorization.

305142314332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762855785849 (or 762855785838 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 305142314332400 its reverse (4233413241503), we get a palindrome (309375727573903).

The spelling of 305142314332400 in words is "three hundred five trillion, one hundred forty-two billion, three hundred fourteen million, three hundred thirty-two thousand, four hundred".