1904788408320 has 576 divisors, whose sum is σ = 7988602527360. Its totient is φ = 409767247872.

The previous prime is 1904788408309. The next prime is 1904788408333. The reversal of 1904788408320 is 238048874091.

It is a happy number.

1904788408320 is a `hidden beast` number, since 1 + 90 + 47 + 88 + 408 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10880199 + ... + 11053881.

It is an arithmetic number, because the mean of its divisors is an integer number (13869101610).

Almost surely, 2^{1904788408320} is an apocalyptic number.

1904788408320 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 1904788408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994301263680).

1904788408320 is an abundant number, since it is smaller than the sum of its proper divisors (6083814119040).

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

1904788408320 is a wasteful number, since it uses less digits than its factorization.

1904788408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173740 (or 173717 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1904788408320 in words is "one trillion, nine hundred four billion, seven hundred eighty-eight million, four hundred eight thousand, three hundred twenty".