1004002047160 has 128 divisors (see below), whose sum is σ = 2694408883200. Its totient is φ = 329208929280.

The previous prime is 1004002047143. The next prime is 1004002047233. The reversal of 1004002047160 is 617402004001.

It is a super-4 number, since 4×1004002047160⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 65480695 + ... + 65496025.

It is an arithmetic number, because the mean of its divisors is an integer number (21050069400).

Almost surely, 2^{1004002047160} is an apocalyptic number.

1004002047160 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 1004002047160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347204441600).

1004002047160 is an abundant number, since it is smaller than the sum of its proper divisors (1690406836040).

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

1004002047160 is a wasteful number, since it uses less digits than its factorization.

1004002047160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25541 (or 25537 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 1004002047160 in words is "one trillion, four billion, two million, forty-seven thousand, one hundred sixty".