3330430000400 has 60 divisors (see below), whose sum is σ = 8002834951332. Its totient is φ = 1331926110720.

The previous prime is 3330430000399. The next prime is 3330430000427. The reversal of 3330430000400 is 40000340333.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 117775257856 + 3212654742544 = 343184^2 + 1792388^2 .

It is a super-2 number, since 2×3330430000400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409114 + ... + 2940486.

Almost surely, 2^{3330430000400} is an apocalyptic number.

It is an amenable number.

3330430000400 is an abundant number, since it is smaller than the sum of its proper divisors (4672404950932).

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

3330430000400 is a wasteful number, since it uses less digits than its factorization.

3330430000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536828 (or 1536817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 3330430000400 its reverse (40000340333), we get a palindrome (3370430340733).

The spelling of 3330430000400 in words is "three trillion, three hundred thirty billion, four hundred thirty million, four hundred", and thus it is an aban number.