378946189440 has 2304 divisors, whose sum is σ = 1821743239680. Its totient is φ = 70304661504.

The previous prime is 378946189403. The next prime is 378946189441. The reversal of 378946189440 is 44981649873.

378946189440 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 4 + 6 + 189 + 440 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378946189441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8812702059 + ... + 8812702101.

It is an arithmetic number, because the mean of its divisors is an integer number (790687170).

Almost surely, 2^378946189440 is an apocalyptic number.

378946189440 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 378946189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910871619840).

378946189440 is an abundant number, since it is smaller than the sum of its proper divisors (1442797050240).

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

378946189440 is a wasteful number, since it uses less digits than its factorization.

378946189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 378946189440 in words is "three hundred seventy-eight billion, nine hundred forty-six million, one hundred eighty-nine thousand, four hundred forty".