1004080924000 has 192 divisors, whose sum is σ = 3075774653952. Its totient is φ = 312960192000.

The previous prime is 1004080923977. The next prime is 1004080924001. The reversal of 1004080924000 is 4290804001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1004080924000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004080924001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1322002 + ... + 1938001.

It is an arithmetic number, because the mean of its divisors is an integer number (16019659656).

Almost surely, 2^{1004080924000} is an apocalyptic number.

1004080924000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004080924000 is an abundant number, since it is smaller than the sum of its proper divisors (2071693729952).

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

1004080924000 is a wasteful number, since it uses less digits than its factorization.

1004080924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260046 (or 3260028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 1004080924000 in words is "one trillion, four billion, eighty million, nine hundred twenty-four thousand".