1478290198320 has 1440 divisors, whose sum is σ = 6203057889600. Its totient is φ = 313026674688.

The previous prime is 1478290198267. The next prime is 1478290198327. The reversal of 1478290198320 is 238910928741.

1478290198320 is a `hidden beast` number, since 1 + 47 + 8 + 2 + 90 + 198 + 320 = 666.

It is not an unprimeable number, because it can be changed into a prime (1478290198327) 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, 1139775912 + ... + 1139777208.

It is an arithmetic number, because the mean of its divisors is an integer number (4307679090).

Almost surely, 2^{1478290198320} is an apocalyptic number.

1478290198320 is a gapful number since it is divisible by the number (10) 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 1478290198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101528944800).

1478290198320 is an abundant number, since it is smaller than the sum of its proper divisors (4724767691280).

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

1478290198320 is a wasteful number, since it uses less digits than its factorization.

1478290198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1478290198320 in words is "one trillion, four hundred seventy-eight billion, two hundred ninety million, one hundred ninety-eight thousand, three hundred twenty".