400411404000 has 576 divisors, whose sum is σ = 1546544301120. Its totient is φ = 100280217600.

The previous prime is 400411403941. The next prime is 400411404007. The reversal of 400411404000 is 404114004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400411404007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 857411767 + ... + 857412233.

It is an arithmetic number, because the mean of its divisors is an integer number (2684972745).

Almost surely, 2^400411404000 is an apocalyptic number.

400411404000 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 400411404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773272150560).

400411404000 is an abundant number, since it is smaller than the sum of its proper divisors (1146132897120).

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

400411404000 is an equidigital number, since it uses as much as digits as its factorization.

400411404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 400411404000 its reverse (404114004), we get a palindrome (400815518004).

The spelling of 400411404000 in words is "four hundred billion, four hundred eleven million, four hundred four thousand".