1004975161344 has 672 divisors, whose sum is σ = 3720513646080. Its totient is φ = 260466278400.

The previous prime is 1004975161301. The next prime is 1004975161363. The reversal of 1004975161344 is 4431615794001.

1004975161344 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 97 + 516 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1004975161344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179989274 + ... + 2179989734.

It is an arithmetic number, because the mean of its divisors is an integer number (5536478640).

Almost surely, 2^{1004975161344} is an apocalyptic number.

1004975161344 is a gapful number since it is divisible by the number (14) 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 1004975161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860256823040).

1004975161344 is an abundant number, since it is smaller than the sum of its proper divisors (2715538484736).

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

1004975161344 is an frugal number, since it uses more digits than its factorization.

1004975161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1004975161344 in words is "one trillion, four billion, nine hundred seventy-five million, one hundred sixty-one thousand, three hundred forty-four".