398378373120 has 2340 divisors, whose sum is σ = 1860890191380. Its totient is φ = 81155063808.

The previous prime is 398378373101. The next prime is 398378373131. The reversal of 398378373120 is 21373873893.

398378373120 is a `hidden beast` number, since 3 + 9 + 83 + 78 + 373 + 120 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 75172478976 + 323205894144 = 274176^2 + 568512^2 .

It is a tau number, because it is divible by the number of its divisors (2340).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13737185266 + ... + 13737185294.

Almost surely, 2^398378373120 is an apocalyptic number.

398378373120 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 398378373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930445095690).

398378373120 is an abundant number, since it is smaller than the sum of its proper divisors (1462511818260).

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

398378373120 is a wasteful number, since it uses less digits than its factorization.

398378373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 398378373120 in words is "three hundred ninety-eight billion, three hundred seventy-eight million, three hundred seventy-three thousand, one hundred twenty".