30001441344400 has 60 divisors (see below), whose sum is σ = 72079055346964. Its totient is φ = 12000477888000.

The previous prime is 30001441344311. The next prime is 30001441344401. The reversal of 30001441344400 is 444314410003.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2914163096464 + 27087278247936 = 1707092^2 + 5204544^2 .

It is a super-2 number, since 2×30001441344400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30001441344401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66471490 + ... + 66921310.

Almost surely, 2^{30001441344400} is an apocalyptic number.

It is an amenable number.

30001441344400 is an abundant number, since it is smaller than the sum of its proper divisors (42077614002564).

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

30001441344400 is a wasteful number, since it uses less digits than its factorization.

30001441344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616580 (or 616569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 30001441344400 its reverse (444314410003), we get a palindrome (30445755754403).

The spelling of 30001441344400 in words is "thirty trillion, one billion, four hundred forty-one million, three hundred forty-four thousand, four hundred".