1004100194304 has 351 divisors, whose sum is σ = 3091094900517. Its totient is φ = 313985728512.

The previous prime is 1004100194267. The next prime is 1004100194387. The reversal of 1004100194304 is 4034910014001.

The square root of 1004100194304 is 1002048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 781738905600 + 222361288704 = 884160^2 + 471552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3270684519 + ... + 3270684825.

Almost surely, 2^{1004100194304} is an apocalyptic number.

1004100194304 is the 1002048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004100194304

1004100194304 is an abundant number, since it is smaller than the sum of its proper divisors (2086994706213).

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

1004100194304 is an frugal number, since it uses more digits than its factorization.

1004100194304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1004100194304 in words is "one trillion, four billion, one hundred million, one hundred ninety-four thousand, three hundred four".