400004404000 has 192 divisors, whose sum is σ = 1027084810752. Its totient is φ = 152952576000.

The previous prime is 400004403979. The next prime is 400004404003. The reversal of 400004404000 is 404400004.

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 (400004404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8059260 + ... + 8108740.

It is an arithmetic number, because the mean of its divisors is an integer number (5349400056).

Almost surely, 2^400004404000 is an apocalyptic number.

400004404000 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 400004404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513542405376).

400004404000 is an abundant number, since it is smaller than the sum of its proper divisors (627080406752).

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

400004404000 is a wasteful number, since it uses less digits than its factorization.

400004404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49596 (or 49578 counting only the distinct ones).

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

Adding to 400004404000 its reverse (404400004), we get a palindrome (400408804004).

The spelling of 400004404000 in words is "four hundred billion, four million, four hundred four thousand".