320421180361590 has 1536 divisors, whose sum is σ = 1133073751080960. Its totient is φ = 60837035212800.

The previous prime is 320421180361561. The next prime is 320421180361637. The reversal of 320421180361590 is 95163081124023.

320421180361590 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 21 + 1 + 8 + 0 + 3 + 615 + 9 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 86670590622 + ... + 86670594318.

It is an arithmetic number, because the mean of its divisors is an integer number (737678223360).

Almost surely, 2^{320421180361590} is an apocalyptic number.

320421180361590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320421180361590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566536875540480).

320421180361590 is an abundant number, since it is smaller than the sum of its proper divisors (812652570719370).

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

320421180361590 is a wasteful number, since it uses less digits than its factorization.

320421180361590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 320421180361590 in words is "three hundred twenty trillion, four hundred twenty-one billion, one hundred eighty million, three hundred sixty-one thousand, five hundred ninety".