400434344000 has 224 divisors, whose sum is σ = 1009765336320. Its totient is φ = 157267968000.

The previous prime is 400434343999. The next prime is 400434344017. The reversal of 400434344000 is 443434004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192422960 + ... + 192425040.

Almost surely, 2^400434344000 is an apocalyptic number.

400434344000 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 400434344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504882668160).

400434344000 is an abundant number, since it is smaller than the sum of its proper divisors (609330992320).

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

400434344000 is a wasteful number, since it uses less digits than its factorization.

400434344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 400434344000 its reverse (443434004), we get a palindrome (400877778004).

The spelling of 400434344000 in words is "four hundred billion, four hundred thirty-four million, three hundred forty-four thousand".