817871040000 has 800 divisors, whose sum is σ = 3457656195840. Its totient is φ = 186928128000.

The previous prime is 817871039977. The next prime is 817871040061. The reversal of 817871040000 is 40178718.

817871040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60473239 + ... + 60486761.

Almost surely, 2^817871040000 is an apocalyptic number.

817871040000 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 817871040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728828097920).

817871040000 is an abundant number, since it is smaller than the sum of its proper divisors (2639785155840).

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

817871040000 is an equidigital number, since it uses as much as digits as its factorization.

817871040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577 (or 13540 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 817871040000 in words is "eight hundred seventeen billion, eight hundred seventy-one million, forty thousand".