382016251408 has 80 divisors (see below), whose sum is σ = 818380834560. Its totient is φ = 171295488000.

The previous prime is 382016251361. The next prime is 382016251429. The reversal of 382016251408 is 804152610283.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16687266 + ... + 16710142.

It is an arithmetic number, because the mean of its divisors is an integer number (10229760432).

Almost surely, 2^382016251408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382016251408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409190417280).

382016251408 is an abundant number, since it is smaller than the sum of its proper divisors (436364583152).

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

382016251408 is a wasteful number, since it uses less digits than its factorization.

382016251408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 24170 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 382016251408 in words is "three hundred eighty-two billion, sixteen million, two hundred fifty-one thousand, four hundred eight".