305010040400 has 120 divisors (see below), whose sum is σ = 816367462680. Its totient is φ = 108735621120.

The previous prime is 305010040381. The next prime is 305010040403. The reversal of 305010040400 is 4040010503.

It can be written as a sum of positive squares in 12 ways, for example, as 34148083264 + 270861957136 = 184792^2 + 520444^2 .

It is a super-2 number, since 2×305010040400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305010040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860507 + ... + 1162106.

It is an arithmetic number, because the mean of its divisors is an integer number (6803062189).

Almost surely, 2^305010040400 is an apocalyptic number.

It is an amenable number.

305010040400 is an abundant number, since it is smaller than the sum of its proper divisors (511357422280).

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

305010040400 is a wasteful number, since it uses less digits than its factorization.

305010040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022673 (or 2022662 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 305010040400 its reverse (4040010503), we get a palindrome (309050050903).

The spelling of 305010040400 in words is "three hundred five billion, ten million, forty thousand, four hundred".