305400312144 has 120 divisors (see below), whose sum is σ = 897572690560. Its totient is φ = 100511394048.

The previous prime is 305400312121. The next prime is 305400312169. The reversal of 305400312144 is 441213004503.

It is a happy number.

305400312144 is a `hidden beast` number, since 30 + 540 + 0 + 31 + 21 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189997 + ... + 804300.

Almost surely, 2^305400312144 is an apocalyptic number.

It is an amenable number.

305400312144 is an abundant number, since it is smaller than the sum of its proper divisors (592172378416).

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

305400312144 is an equidigital number, since it uses as much as digits as its factorization.

305400312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994399 (or 994381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 305400312144 its reverse (441213004503), we get a palindrome (746613316647).

The spelling of 305400312144 in words is "three hundred five billion, four hundred million, three hundred twelve thousand, one hundred forty-four".