30544050400000 has 432 divisors, whose sum is σ = 80462020101120. Its totient is φ = 11539238400000.

The previous prime is 30544050399977. The next prime is 30544050400001. The reversal of 30544050400000 is 405044503.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (30544050400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5274397105 + ... + 5274402895.

It is an arithmetic number, because the mean of its divisors is an integer number (186254676160).

Almost surely, 2^{30544050400000} 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 30544050400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40231010050560).

30544050400000 is an abundant number, since it is smaller than the sum of its proper divisors (49917969701120).

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

30544050400000 is an frugal number, since it uses more digits than its factorization.

30544050400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 30544050400000 its reverse (405044503), we get a palindrome (30544455444503).

The spelling of 30544050400000 in words is "thirty trillion, five hundred forty-four billion, fifty million, four hundred thousand".