1004790188160 has 1536 divisors, whose sum is σ = 4122740643840. Its totient is φ = 223027200000.

The previous prime is 1004790188141. The next prime is 1004790188191. The reversal of 1004790188160 is 618810974001.

It is a happy number.

1004790188160 is a `hidden beast` number, since 1 + 0 + 0 + 479 + 0 + 18 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4003148035 + ... + 4003148285.

It is an arithmetic number, because the mean of its divisors is an integer number (2684075940).

Almost surely, 2^{1004790188160} is an apocalyptic number.

1004790188160 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 1004790188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061370321920).

1004790188160 is an abundant number, since it is smaller than the sum of its proper divisors (3117950455680).

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

1004790188160 is a wasteful number, since it uses less digits than its factorization.

1004790188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1004790188160 in words is "one trillion, four billion, seven hundred ninety million, one hundred eighty-eight thousand, one hundred sixty".