2401044400 has 60 divisors (see below), whose sum is σ = 5787357264. Its totient is φ = 957280000.

The previous prime is 2401044391. The next prime is 2401044407. The reversal of 2401044400 is 44401042.

It is not an unprimeable number, because it can be changed into a prime (2401044407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114750 + ... + 134050.

Almost surely, 2^2401044400 is an apocalyptic number.

2401044400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893678632).

2401044400 is an abundant number, since it is smaller than the sum of its proper divisors (3386312864).

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

2401044400 is a wasteful number, since it uses less digits than its factorization.

2401044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19630 (or 19619 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2401044400 is about 49000.4530591300. The cubic root of 2401044400 is about 1339.0600819369.

Adding to 2401044400 its reverse (44401042), we get a palindrome (2445445442).

The spelling of 2401044400 in words is "two billion, four hundred one million, forty-four thousand, four hundred".