3014044000400 has 120 divisors (see below), whose sum is σ = 7267253657664. Its totient is φ = 1201294195200.

The previous prime is 3014044000397. The next prime is 3014044000441. The reversal of 3014044000400 is 40004404103.

It is a super-2 number, since 2×3014044000400² (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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134047559 + ... + 134070041.

Almost surely, 2^{3014044000400} 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 3014044000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633626828832).

3014044000400 is an abundant number, since it is smaller than the sum of its proper divisors (4253209657264).

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

3014044000400 is a wasteful number, since it uses less digits than its factorization.

3014044000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23689 (or 23678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 3014044000400 its reverse (40004404103), we get a palindrome (3054048404503).

The spelling of 3014044000400 in words is "three trillion, fourteen billion, forty-four million, four hundred", and thus it is an aban number.