1004431243464 has 192 divisors, whose sum is σ = 3143053368000. Its totient is φ = 286391439360.

The previous prime is 1004431243429. The next prime is 1004431243469. The reversal of 1004431243464 is 4643421344001.

1004431243464 is a `hidden beast` number, since 1 + 0 + 0 + 443 + 124 + 34 + 64 = 666.

1004431243464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1004431243469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65817867 + ... + 65833125.

It is an arithmetic number, because the mean of its divisors is an integer number (16370069625).

Almost surely, 2^{1004431243464} 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 1004431243464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571526684000).

1004431243464 is an abundant number, since it is smaller than the sum of its proper divisors (2138622124536).

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

1004431243464 is a wasteful number, since it uses less digits than its factorization.

1004431243464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20188 (or 20181 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1004431243464 its reverse (4643421344001), we get a palindrome (5647852587465).

The spelling of 1004431243464 in words is "one trillion, four billion, four hundred thirty-one million, two hundred forty-three thousand, four hundred sixty-four".