1004006004000 has 192 divisors, whose sum is σ = 3308825624832. Its totient is φ = 266131200000.

The previous prime is 1004006003999. The next prime is 1004006004047. The reversal of 1004006004000 is 4006004001.

1004006004000 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 Cunningham number, because it is equal to 1001⁴-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753500 + ... + 2254500.

It is an arithmetic number, because the mean of its divisors is an integer number (17233466796).

Almost surely, 2^{1004006004000} is an apocalyptic number.

1004006004000 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 1004006004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654412812416).

1004006004000 is an abundant number, since it is smaller than the sum of its proper divisors (2304819620832).

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

1004006004000 is a wasteful number, since it uses less digits than its factorization.

1004006004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501196 (or 501178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Subtracting from 1004006004000 its reverse (4006004001), we obtain a palindrome (999999999999).

The spelling of 1004006004000 in words is "one trillion, four billion, six million, four thousand".