801319039488 has 640 divisors, whose sum is σ = 2661373946880. Its totient is φ = 238953369600.

The previous prime is 801319039487. The next prime is 801319039531. The reversal of 801319039488 is 884930913108.

801319039488 is a `hidden beast` number, since 80 + 13 + 1 + 90 + 394 + 88 = 666.

It is a super-2 number, since 2×801319039488² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801319039481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825250843 + ... + 825251813.

It is an arithmetic number, because the mean of its divisors is an integer number (4158396792).

Almost surely, 2^801319039488 is an apocalyptic number.

801319039488 is a gapful number since it is divisible by the number (88) 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 801319039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330686973440).

801319039488 is an abundant number, since it is smaller than the sum of its proper divisors (1860054907392).

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

801319039488 is an frugal number, since it uses more digits than its factorization.

801319039488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 801319039488 in words is "eight hundred one billion, three hundred nineteen million, thirty-nine thousand, four hundred eighty-eight".