400444804032 has 224 divisors, whose sum is σ = 1307726794752. Its totient is φ = 105311010816.

The previous prime is 400444804027. The next prime is 400444804049. The reversal of 400444804032 is 230408444004.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 400444803984 and 400444804002.

It is a congruent number.

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, 6135153 + ... + 6200079.

It is an arithmetic number, because the mean of its divisors is an integer number (5838066048).

Almost surely, 2^400444804032 is an apocalyptic number.

400444804032 is a gapful number since it is divisible by the number (42) 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 400444804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653863397376).

400444804032 is an abundant number, since it is smaller than the sum of its proper divisors (907281990720).

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

400444804032 is a wasteful number, since it uses less digits than its factorization.

400444804032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65315 (or 65305 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 400444804032 in words is "four hundred billion, four hundred forty-four million, eight hundred four thousand, thirty-two".