30445434404000 has 576 divisors, whose sum is σ = 95290791628032. Its totient is φ = 9453228288000.

The previous prime is 30445434403997. The next prime is 30445434404003. The reversal of 30445434404000 is 40443454403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30445434403997) and next prime (30445434404003).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (30445434404003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 567001154 + ... + 567054846.

It is an arithmetic number, because the mean of its divisors is an integer number (165435402132).

Almost surely, 2^{30445434404000} 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 30445434404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47645395814016).

30445434404000 is an abundant number, since it is smaller than the sum of its proper divisors (64845357224032).

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

30445434404000 is a wasteful number, since it uses less digits than its factorization.

30445434404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54006 (or 53981 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 30445434404000 its reverse (40443454403), we get a palindrome (30485877858403).

The spelling of 30445434404000 in words is "thirty trillion, four hundred forty-five billion, four hundred thirty-four million, four hundred four thousand".