382797190440 has 576 divisors, whose sum is σ = 1537491533760. Its totient is φ = 85358085120.

The previous prime is 382797190439. The next prime is 382797190463. The reversal of 382797190440 is 44091797283.

382797190440 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 9 + 7 + 190 + 440 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19517679 + ... + 19537281.

It is an arithmetic number, because the mean of its divisors is an integer number (2669256135).

Almost surely, 2^382797190440 is an apocalyptic number.

382797190440 is a gapful number since it is divisible by the number (30) 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 382797190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768745766880).

382797190440 is an abundant number, since it is smaller than the sum of its proper divisors (1154694343320).

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

382797190440 is a wasteful number, since it uses less digits than its factorization.

382797190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19684 (or 19661 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 382797190440 in words is "three hundred eighty-two billion, seven hundred ninety-seven million, one hundred ninety thousand, four hundred forty".