1004005163430 has 96 divisors (see below), whose sum is σ = 2725331132160. Its totient is φ = 255960429120.

The previous prime is 1004005163417. The next prime is 1004005163521. The reversal of 1004005163430 is 343615004001.

1004005163430 is a `hidden beast` number, since 100 + 4 + 0 + 0 + 516 + 3 + 43 + 0 = 666.

1004005163430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1004005163394 and 1004005163403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3871581 + ... + 4122759.

It is an arithmetic number, because the mean of its divisors is an integer number (28388865960).

Almost surely, 2^{1004005163430} is an apocalyptic number.

1004005163430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004005163430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362665566080).

1004005163430 is an abundant number, since it is smaller than the sum of its proper divisors (1721325968730).

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

1004005163430 is a wasteful number, since it uses less digits than its factorization.

1004005163430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253146 (or 253143 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1004005163430 in words is "one trillion, four billion, five million, one hundred sixty-three thousand, four hundred thirty".