1808042368320 has 280 divisors, whose sum is σ = 6568370164224. Its totient is φ = 471885917184.

The previous prime is 1808042368313. The next prime is 1808042368337. The reversal of 1808042368320 is 238632408081.

1808042368320 is a `hidden beast` number, since 18 + 0 + 80 + 4 + 236 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 476169 + ... + 1960311.

Almost surely, 2^{1808042368320} is an apocalyptic number.

1808042368320 is a gapful number since it is divisible by the number (10) 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 1808042368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284185082112).

1808042368320 is an abundant number, since it is smaller than the sum of its proper divisors (4760327795904).

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

1808042368320 is a wasteful number, since it uses less digits than its factorization.

1808042368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484219 (or 1484200 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1808042368320 in words is "one trillion, eight hundred eight billion, forty-two million, three hundred sixty-eight thousand, three hundred twenty".