4004242400 has 72 divisors (see below), whose sum is σ = 10289888280. Its totient is φ = 1517391360.

The previous prime is 4004242399. The next prime is 4004242447. The reversal of 4004242400 is 42424004.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 116519 + ... + 146918.

It is an arithmetic number, because the mean of its divisors is an integer number (142915115).

Almost surely, 2^4004242400 is an apocalyptic number.

4004242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004242400 is an abundant number, since it is smaller than the sum of its proper divisors (6285645880).

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

4004242400 is a wasteful number, since it uses less digits than its factorization.

4004242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263476 (or 263463 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4004242400 is about 63279.0834320473. The cubic root of 4004242400 is about 1587.9620528676.

Adding to 4004242400 its reverse (42424004), we get a palindrome (4046666404).

The spelling of 4004242400 in words is "four billion, four million, two hundred forty-two thousand, four hundred".