801039054144 has 448 divisors, whose sum is σ = 2497564362240. Its totient is φ = 221891788800.

The previous prime is 801039054083. The next prime is 801039054169. The reversal of 801039054144 is 441450930108.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2269232272 + ... + 2269232624.

Almost surely, 2^801039054144 is an apocalyptic number.

801039054144 is a gapful number since it is divisible by the number (84) 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 801039054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248782181120).

801039054144 is an abundant number, since it is smaller than the sum of its proper divisors (1696525308096).

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

801039054144 is a wasteful number, since it uses less digits than its factorization.

801039054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 801039054144 in words is "eight hundred one billion, thirty-nine million, fifty-four thousand, one hundred forty-four".