801443700400 has 240 divisors, whose sum is σ = 2226752320000. Its totient is φ = 271518842880.

The previous prime is 801443700367. The next prime is 801443700437. The reversal of 801443700400 is 4007344108.

801443700400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143908816 + ... + 143914384.

Almost surely, 2^801443700400 is an apocalyptic number.

801443700400 is a gapful number since it is divisible by the number (80) 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 801443700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113376160000).

801443700400 is an abundant number, since it is smaller than the sum of its proper divisors (1425308619600).

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

801443700400 is a wasteful number, since it uses less digits than its factorization.

801443700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 801443700400 in words is "eight hundred one billion, four hundred forty-three million, seven hundred thousand, four hundred".