4040984448400 has 45 divisors (see below), whose sum is σ = 9708561729313. Its totient is φ = 1616377697600.

The previous prime is 4040984448379. The next prime is 4040984448407. The reversal of 4040984448400 is 48444890404.

The square root of 4040984448400 is 2010220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1454754401424 + 2586230046976 = 1206132^2 + 1608176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4040984448407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40154145 + ... + 40254655.

Almost surely, 2^{4040984448400} is an apocalyptic number.

4040984448400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4040984448400 is the 2010220-th square number.

It is an amenable number.

4040984448400 is an abundant number, since it is smaller than the sum of its proper divisors (5667577280913).

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

4040984448400 is an frugal number, since it uses more digits than its factorization.

4040984448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201040 (or 100518 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 49.

Multiplying 4040984448400 by its sum of digits (49), we get a square (198008237971600 = 14071540²).

The spelling of 4040984448400 in words is "four trillion, forty billion, nine hundred eighty-four million, four hundred forty-eight thousand, four hundred".