378855410120 has 256 divisors, whose sum is σ = 1003813171200. Its totient is φ = 127151861760.

The previous prime is 378855410117. The next prime is 378855410123. The reversal of 378855410120 is 21014558873.

It is an interprime number because it is at equal distance from previous prime (378855410117) and next prime (378855410123).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (378855410123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119775659 + ... + 119778821.

It is an arithmetic number, because the mean of its divisors is an integer number (3921145200).

Almost surely, 2^378855410120 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 378855410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501906585600).

378855410120 is an abundant number, since it is smaller than the sum of its proper divisors (624957761080).

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

378855410120 is a wasteful number, since it uses less digits than its factorization.

378855410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

Adding to 378855410120 its reverse (21014558873), we get a palindrome (399869968993).

The spelling of 378855410120 in words is "three hundred seventy-eight billion, eight hundred fifty-five million, four hundred ten thousand, one hundred twenty".