378585446400 has 1944 divisors, whose sum is σ = 1708995539160. Its totient is φ = 82771476480.

The previous prime is 378585446353. The next prime is 378585446471. The reversal of 378585446400 is 4644585873.

It is a happy number.

378585446400 is a `hidden beast` number, since 3 + 7 + 8 + 58 + 544 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 16460236789 + ... + 16460236811.

Almost surely, 2^378585446400 is an apocalyptic number.

378585446400 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 378585446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854497769580).

378585446400 is an abundant number, since it is smaller than the sum of its proper divisors (1330410092760).

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

378585446400 is an frugal number, since it uses more digits than its factorization.

378585446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 378585446400 in words is "three hundred seventy-eight billion, five hundred eighty-five million, four hundred forty-six thousand, four hundred".