382808498365440 has 1056 divisors, whose sum is σ = 1539226121621760. Its totient is φ = 86163172098048.

The previous prime is 382808498365439. The next prime is 382808498365451. The reversal of 382808498365440 is 44563894808283.

382808498365440 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 0 + 8 + 49 + 8 + 36 + 544 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5730890122 + ... + 5730956918.

It is an arithmetic number, because the mean of its divisors is an integer number (1457600493960).

Almost surely, 2^{382808498365440} is an apocalyptic number.

382808498365440 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 382808498365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769613060810880).

382808498365440 is an abundant number, since it is smaller than the sum of its proper divisors (1156417623256320).

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

382808498365440 is a wasteful number, since it uses less digits than its factorization.

382808498365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67107 (or 67086 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 382808498365440 in words is "three hundred eighty-two trillion, eight hundred eight billion, four hundred ninety-eight million, three hundred sixty-five thousand, four hundred forty".