3023013000400 has 480 divisors, whose sum is σ = 7980439219200. Its totient is φ = 1097349120000.

The previous prime is 3023013000383. The next prime is 3023013000439. The reversal of 3023013000400 is 40003103203.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5587824130 + ... + 5587824670.

It is an arithmetic number, because the mean of its divisors is an integer number (16625915040).

Almost surely, 2^{3023013000400} 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 3023013000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990219609600).

3023013000400 is an abundant number, since it is smaller than the sum of its proper divisors (4957426218800).

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

3023013000400 is a wasteful number, since it uses less digits than its factorization.

3023013000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 3023013000400 its reverse (40003103203), we get a palindrome (3063016103603).

The spelling of 3023013000400 in words is "three trillion, twenty-three billion, thirteen million, four hundred", and thus it is an aban number.