394512448000 has 320 divisors, whose sum is σ = 1107852235776. Its totient is φ = 138823680000.

The previous prime is 394512447977. The next prime is 394512448003. The reversal of 394512448000 is 844215493.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×394512448000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (394512448003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21814962 + ... + 21833038.

Almost surely, 2^394512448000 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 394512448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553926117888).

394512448000 is an abundant number, since it is smaller than the sum of its proper divisors (713339787776).

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

394512448000 is a wasteful number, since it uses less digits than its factorization.

394512448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18152 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 394512448000 in words is "three hundred ninety-four billion, five hundred twelve million, four hundred forty-eight thousand".