801018721440 has 1152 divisors, whose sum is σ = 3399817494528. Its totient is φ = 167573422080.

The previous prime is 801018721439. The next prime is 801018721453. The reversal of 801018721440 is 44127810108.

801018721440 is a `hidden beast` number, since 8 + 0 + 10 + 187 + 21 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 801018721395 and 801018721404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2182612137 + ... + 2182612503.

It is an arithmetic number, because the mean of its divisors is an integer number (2951230464).

Almost surely, 2^801018721440 is an apocalyptic number.

801018721440 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 801018721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699908747264).

801018721440 is an abundant number, since it is smaller than the sum of its proper divisors (2598798773088).

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

801018721440 is a wasteful number, since it uses less digits than its factorization.

801018721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 801018721440 in words is "eight hundred one billion, eighteen million, seven hundred twenty-one thousand, four hundred forty".