1004100434664 has 64 divisors (see below), whose sum is σ = 2575243419840. Its totient is φ = 326058416640.

The previous prime is 1004100434647. The next prime is 1004100434669. The reversal of 1004100434664 is 4664340014001.

1004100434664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1004100434669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74947 + ... + 1419090.

It is an arithmetic number, because the mean of its divisors is an integer number (40238178435).

Almost surely, 2^{1004100434664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004100434664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287621709920).

1004100434664 is an abundant number, since it is smaller than the sum of its proper divisors (1571142985176).

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

1004100434664 is a wasteful number, since it uses less digits than its factorization.

1004100434664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494770 (or 1494766 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 1004100434664 its reverse (4664340014001), we get a palindrome (5668440448665).

The spelling of 1004100434664 in words is "one trillion, four billion, one hundred million, four hundred thirty-four thousand, six hundred sixty-four".