4241002400 has 36 divisors (see below), whose sum is σ = 10353349062. Its totient is φ = 1696400640.

The previous prime is 4241002397. The next prime is 4241002421. The reversal of 4241002400 is 42001424.

4241002400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4066867984 + 174134416 = 63772^2 + 13196^2 .

It is a super-2 number, since 2×4241002400² = 35972202713611520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2649827 + ... + 2651426.

Almost surely, 2^4241002400 is an apocalyptic number.

4241002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4241002400 is an abundant number, since it is smaller than the sum of its proper divisors (6112346662).

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

4241002400 is a wasteful number, since it uses less digits than its factorization.

4241002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301273 (or 5301260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4241002400 is about 65122.9790473378. The cubic root of 4241002400 is about 1618.6620055227.

Adding to 4241002400 its reverse (42001424), we get a palindrome (4283003824).

The spelling of 4241002400 in words is "four billion, two hundred forty-one million, two thousand, four hundred".