4040134400 has 54 divisors (see below), whose sum is σ = 9999979752. Its totient is φ = 1616051200.

The previous prime is 4040134393. The next prime is 4040134421. The reversal of 4040134400 is 44310404.

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

It is a zygodrome in base 2.

It is a congruent number.

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, 309236 + ... + 322035.

Almost surely, 2^4040134400 is an apocalyptic number.

4040134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040134400 is an abundant number, since it is smaller than the sum of its proper divisors (5959845352).

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

4040134400 is an equidigital number, since it uses as much as digits as its factorization.

4040134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631297 (or 631278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4040134400 is about 63562.0515716729. The cubic root of 4040134400 is about 1592.6925095069.

Adding to 4040134400 its reverse (44310404), we get a palindrome (4084444804).

The spelling of 4040134400 in words is "four billion, forty million, one hundred thirty-four thousand, four hundred".