801083965440 has 960 divisors, whose sum is σ = 2947331358720. Its totient is φ = 185558630400.

The previous prime is 801083965433. The next prime is 801083965459. The reversal of 801083965440 is 44569380108.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×801083965440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 801083965440.

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, 10140303321 + ... + 10140303399.

It is an arithmetic number, because the mean of its divisors is an integer number (3070136832).

Almost surely, 2^801083965440 is an apocalyptic number.

801083965440 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 801083965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473665679360).

801083965440 is an abundant number, since it is smaller than the sum of its proper divisors (2146247393280).

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

801083965440 is an equidigital number, since it uses as much as digits as its factorization.

801083965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 801083965440 in words is "eight hundred one billion, eighty-three million, nine hundred sixty-five thousand, four hundred forty".