1904120479392 has 192 divisors, whose sum is σ = 5182200737280. Its totient is φ = 611743334400.

The previous prime is 1904120479361. The next prime is 1904120479399. The reversal of 1904120479392 is 2939740214091.

It is not an unprimeable number, because it can be changed into a prime (1904120479399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799042233 + ... + 799044615.

It is an arithmetic number, because the mean of its divisors is an integer number (26990628840).

Almost surely, 2^{1904120479392} is an apocalyptic number.

1904120479392 is a gapful number since it is divisible by the number (12) 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 1904120479392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591100368640).

1904120479392 is an abundant number, since it is smaller than the sum of its proper divisors (3278080257888).

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

1904120479392 is a wasteful number, since it uses less digits than its factorization.

1904120479392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 1904120479392 in words is "one trillion, nine hundred four billion, one hundred twenty million, four hundred seventy-nine thousand, three hundred ninety-two".