818091407831040 has 2080 divisors, whose sum is σ = 3426116906572800. Its totient is φ = 186658207432704.

The previous prime is 818091407831029. The next prime is 818091407831083. The reversal of 818091407831040 is 40138704190818.

818091407831040 is a `hidden beast` number, since 8 + 1 + 80 + 9 + 140 + 78 + 310 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 468283575447 + ... + 468283577193.

Almost surely, 2^{818091407831040} is an apocalyptic number.

818091407831040 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 818091407831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713058453286400).

818091407831040 is an abundant number, since it is smaller than the sum of its proper divisors (2608025498741760).

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

818091407831040 is an equidigital number, since it uses as much as digits as its factorization.

818091407831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 818091407831040 in words is "eight hundred eighteen trillion, ninety-one billion, four hundred seven million, eight hundred thirty-one thousand, forty".