30441400000 has 336 divisors, whose sum is σ = 83790824544. Its totient is φ = 10880000000.

The previous prime is 30441399977. The next prime is 30441400037. The reversal of 30441400000 is 414403.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222199932 + ... + 222200068.

It is an arithmetic number, because the mean of its divisors is an integer number (249377454).

Almost surely, 2^30441400000 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 30441400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41895412272).

30441400000 is an abundant number, since it is smaller than the sum of its proper divisors (53349424544).

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

30441400000 is a wasteful number, since it uses less digits than its factorization.

30441400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30441400000 its reverse (414403), we get a palindrome (30441814403).

The spelling of 30441400000 in words is "thirty billion, four hundred forty-one million, four hundred thousand".