4040221120400 has 60 divisors (see below), whose sum is σ = 9839598864132. Its totient is φ = 1593950238720.

The previous prime is 4040221120393. The next prime is 4040221120423. The reversal of 4040221120400 is 40211220404.

It can be written as a sum of positive squares in 6 ways, for example, as 199044468736 + 3841176651664 = 446144^2 + 1959892^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69152669 + ... + 69211068.

Almost surely, 2^{4040221120400} is an apocalyptic number.

4040221120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040221120400 is an abundant number, since it is smaller than the sum of its proper divisors (5799377743732).

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

4040221120400 is a wasteful number, since it uses less digits than its factorization.

4040221120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138363828 (or 138363817 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4040221120400 its reverse (40211220404), we get a palindrome (4080432340804).

The spelling of 4040221120400 in words is "four trillion, forty billion, two hundred twenty-one million, one hundred twenty thousand, four hundred".