30420435040000 has 360 divisors, whose sum is σ = 78645638714720. Its totient is φ = 11730438144000.

The previous prime is 30420435039989. The next prime is 30420435040031. The reversal of 30420435040000 is 4053402403.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 645256429 + ... + 645303571.

Almost surely, 2^{30420435040000} 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 30420435040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39322819357360).

30420435040000 is an abundant number, since it is smaller than the sum of its proper divisors (48225203674720).

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

30420435040000 is an equidigital number, since it uses as much as digits as its factorization.

30420435040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47325 (or 47296 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 30420435040000 its reverse (4053402403), we get a palindrome (30424488442403).

The spelling of 30420435040000 in words is "thirty trillion, four hundred twenty billion, four hundred thirty-five million, forty thousand".