4000404000400 has 240 divisors, whose sum is σ = 9911908574928. Its totient is φ = 1551052800000.

The previous prime is 4000404000377. The next prime is 4000404000401. The reversal of 4000404000400 is 40004040004.

It can be written as a sum of positive squares in 24 ways, for example, as 273156750736 + 3727247249664 = 522644^2 + 1930608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4000404000401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404035450 + ... + 404045350.

Almost surely, 2^{4000404000400} is an apocalyptic number.

4000404000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000404000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955954287464).

4000404000400 is an abundant number, since it is smaller than the sum of its proper divisors (5911504574528).

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

4000404000400 is a wasteful number, since it uses less digits than its factorization.

4000404000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10230 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4000404000400 its reverse (40004040004), we get a palindrome (4040408040404).

4000404000400 divided by its reverse (40004040004) gives a square (100 = 10²).

The spelling of 4000404000400 in words is "four trillion, four hundred four million, four hundred", and thus it is an aban number.