378556416000 has 1280 divisors, whose sum is σ = 1622994721920. Its totient is φ = 85996339200.

The previous prime is 378556415989. The next prime is 378556416001. The reversal of 378556416000 is 614655873.

378556416000 is a `hidden beast` number, since 3 + 7 + 85 + 564 + 1 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (378556416001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2322431919 + ... + 2322432081.

Almost surely, 2^378556416000 is an apocalyptic number.

378556416000 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 378556416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811497360960).

378556416000 is an abundant number, since it is smaller than the sum of its proper divisors (1244438305920).

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

378556416000 is an frugal number, since it uses more digits than its factorization.

378556416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 378556416000 in words is "three hundred seventy-eight billion, five hundred fifty-six million, four hundred sixteen thousand".