382416419911680 has 1920 divisors, whose sum is σ = 1717568012160000. Its totient is φ = 79061212200960.

The previous prime is 382416419911627. The next prime is 382416419911789. The reversal of 382416419911680 is 86119914614283.

382416419911680 is a `hidden beast` number, since 3 + 8 + 2 + 41 + 6 + 419 + 91 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12709494076 + ... + 12709524164.

It is an arithmetic number, because the mean of its divisors is an integer number (894566673000).

Almost surely, 2^{382416419911680} is an apocalyptic number.

382416419911680 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 382416419911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858784006080000).

382416419911680 is an abundant number, since it is smaller than the sum of its proper divisors (1335151592248320).

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

382416419911680 is a wasteful number, since it uses less digits than its factorization.

382416419911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30345 (or 30316 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 382416419911680 in words is "three hundred eighty-two trillion, four hundred sixteen billion, four hundred nineteen million, nine hundred eleven thousand, six hundred eighty".