4241040400 has 60 divisors (see below), whose sum is σ = 10242630144. Its totient is φ = 1687504000.

The previous prime is 4241040379. The next prime is 4241040457. The reversal of 4241040400 is 40401424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48645 + ... + 104155.

Almost surely, 2^4241040400 is an apocalyptic number.

4241040400 is a gapful number since it is divisible by the number (40) 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 4241040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121315072).

4241040400 is an abundant number, since it is smaller than the sum of its proper divisors (6001589744).

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

4241040400 is a wasteful number, since it uses less digits than its factorization.

4241040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55720 (or 55709 counting only the distinct ones).

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

The square root of 4241040400 is about 65123.2708023791. The cubic root of 4241040400 is about 1618.6668399908. Note that the first 3 decimals are identical.

Adding to 4241040400 its reverse (40401424), we get a palindrome (4281441824).

The spelling of 4241040400 in words is "four billion, two hundred forty-one million, forty thousand, four hundred".