330030003000400 has 120 divisors (see below), whose sum is σ = 799108139993184. Its totient is φ = 130981871884800.

The previous prime is 330030003000337. The next prime is 330030003000407. The reversal of 330030003000400 is 4000300030033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330030003000407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20401855 + ... + 32806945.

Almost surely, 2^{330030003000400} 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 330030003000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399554069996592).

330030003000400 is an abundant number, since it is smaller than the sum of its proper divisors (469078136992784).

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

330030003000400 is a wasteful number, since it uses less digits than its factorization.

330030003000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12405629 (or 12405618 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 330030003000400 its reverse (4000300030033), we get a palindrome (334030303030433).

The spelling of 330030003000400 in words is "three hundred thirty trillion, thirty billion, three million, four hundred", and thus it is an aban number.