30413311400 has 144 divisors (see below), whose sum is σ = 75482919900. Its totient is φ = 11393141760.

The previous prime is 30413311337. The next prime is 30413311417. The reversal of 30413311400 is 411331403.

It can be written as a sum of positive squares in 6 ways, for example, as 2698386916 + 27714924484 = 51946^2 + 166478^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6423434 + ... + 6428166.

Almost surely, 2^30413311400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30413311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37741459950).

30413311400 is an abundant number, since it is smaller than the sum of its proper divisors (45069608500).

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

30413311400 is a wasteful number, since it uses less digits than its factorization.

30413311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 30413311400 its reverse (411331403), we get a palindrome (30824642803).

The spelling of 30413311400 in words is "thirty billion, four hundred thirteen million, three hundred eleven thousand, four hundred".