1004011420320 has 576 divisors, whose sum is σ = 3628796371200. Its totient is φ = 262086451200.

The previous prime is 1004011420297. The next prime is 1004011420333. The reversal of 1004011420320 is 230241104001.

1004011420320 is a `hidden beast` number, since 100 + 401 + 142 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004011420293 and 1004011420302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411310300 + ... + 411312740.

It is an arithmetic number, because the mean of its divisors is an integer number (6299993700).

Almost surely, 2^{1004011420320} is an apocalyptic number.

1004011420320 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 1004011420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814398185600).

1004011420320 is an abundant number, since it is smaller than the sum of its proper divisors (2624784950880).

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

1004011420320 is a wasteful number, since it uses less digits than its factorization.

1004011420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004011420320 its reverse (230241104001), we get a palindrome (1234252524321).

The spelling of 1004011420320 in words is "one trillion, four billion, eleven million, four hundred twenty thousand, three hundred twenty".