1004193907488 has 138 divisors (see below), whose sum is σ = 2965510133019. Its totient is φ = 334731302496.

The previous prime is 1004193907471. The next prime is 1004193907517. The reversal of 1004193907488 is 8847093914001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1004193907488 is a `hidden beast` number, since 100 + 4 + 1 + 9 + 390 + 74 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 502096953744 + 502096953744 = 708588^2 + 708588^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=708588.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 22 ways as a sum of consecutive naturals, for example, 334731302495 + 334731302496 + 334731302497.

Almost surely, 2^{1004193907488} is an apocalyptic number.

1004193907488 is a gapful number since it is divisible by the number (18) 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 1004193907488

1004193907488 is an abundant number, since it is smaller than the sum of its proper divisors (1961316225531).

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

1004193907488 is an frugal number, since it uses more digits than its factorization.

1004193907488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1004193907488 in words is "one trillion, four billion, one hundred ninety-three million, nine hundred seven thousand, four hundred eighty-eight".