1004078592000 has 2080 divisors, whose sum is σ = 4274748960768. Its totient is φ = 232243200000.

The previous prime is 1004078591993. The next prime is 1004078592019. The reversal of 1004078592000 is 2958704001.

1004078592000 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14141951965 + ... + 14141952035.

Almost surely, 2^{1004078592000} is an apocalyptic number.

1004078592000 is a gapful number since it is divisible by the number (10) 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 1004078592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137374480384).

1004078592000 is an abundant number, since it is smaller than the sum of its proper divisors (3270670368768).

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

1004078592000 is an equidigital number, since it uses as much as digits as its factorization.

1004078592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1004078592000 in words is "one trillion, four billion, seventy-eight million, five hundred ninety-two thousand".