4001304400 has 60 divisors (see below), whose sum is σ = 9748599264. Its totient is φ = 1577968000.

The previous prime is 4001304383. The next prime is 4001304403. The reversal of 4001304400 is 44031004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001304403) by changing a digit.

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, 42046 + ... + 98845.

Almost surely, 2^4001304400 is an apocalyptic number.

4001304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001304400 is an abundant number, since it is smaller than the sum of its proper divisors (5747294864).

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

4001304400 is a wasteful number, since it uses less digits than its factorization.

4001304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140980 (or 140969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4001304400 is about 63255.8645502534. The cubic root of 4001304400 is about 1587.5735837097.

Adding to 4001304400 its reverse (44031004), we get a palindrome (4045335404).

The spelling of 4001304400 in words is "four billion, one million, three hundred four thousand, four hundred".