801493418880 has 1280 divisors, whose sum is σ = 3590040960000. Its totient is φ = 165542952960.

The previous prime is 801493418867. The next prime is 801493418881. The reversal of 801493418880 is 88814394108.

801493418880 is a `hidden beast` number, since 8 + 0 + 149 + 3 + 418 + 8 + 80 = 666.

It is a super-2 number, since 2×801493418880² (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 (801493418881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 794343816 + ... + 794344824.

It is an arithmetic number, because the mean of its divisors is an integer number (2804719500).

Almost surely, 2^801493418880 is an apocalyptic number.

801493418880 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 801493418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795020480000).

801493418880 is an abundant number, since it is smaller than the sum of its proper divisors (2788547541120).

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

801493418880 is a wasteful number, since it uses less digits than its factorization.

801493418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 801493418880 in words is "eight hundred one billion, four hundred ninety-three million, four hundred eighteen thousand, eight hundred eighty".