3042404100400 has 600 divisors, whose sum is σ = 9048839118480. Its totient is φ = 980190167040.

The previous prime is 3042404100389. The next prime is 3042404100431. The reversal of 3042404100400 is 40014042403.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 2499920592 + ... + 2499921808.

Almost surely, 2^{3042404100400} 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 3042404100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524419559240).

3042404100400 is an abundant number, since it is smaller than the sum of its proper divisors (6006435018080).

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

3042404100400 is a wasteful number, since it uses less digits than its factorization.

3042404100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 3042404100400 its reverse (40014042403), we get a palindrome (3082418142803).

The spelling of 3042404100400 in words is "three trillion, forty-two billion, four hundred four million, one hundred thousand, four hundred".