1382175417056 has 192 divisors, whose sum is σ = 3271749304320. Its totient is φ = 562306752000.

The previous prime is 1382175417037. The next prime is 1382175417101. The reversal of 1382175417056 is 6507145712831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1382175416995 and 1382175417013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201157301 + ... + 201164171.

It is an arithmetic number, because the mean of its divisors is an integer number (17040360960).

Almost surely, 2^{1382175417056} is an apocalyptic number.

1382175417056 is a gapful number since it is divisible by the number (16) 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 1382175417056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635874652160).

1382175417056 is an abundant number, since it is smaller than the sum of its proper divisors (1889573887264).

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

1382175417056 is a wasteful number, since it uses less digits than its factorization.

1382175417056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 1382175417056 in words is "one trillion, three hundred eighty-two billion, one hundred seventy-five million, four hundred seventeen thousand, fifty-six".