1004024056320 has 1080 divisors, whose sum is σ = 3807992624436. Its totient is φ = 253832527872.

The previous prime is 1004024056303. The next prime is 1004024056327. The reversal of 1004024056320 is 236504204001.

1004024056320 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 24 + 0 + 5 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 853864706304 + 150159350016 = 924048^2 + 387504^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004024056327) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8885168584 + ... + 8885168696.

Almost surely, 2^{1004024056320} is an apocalyptic number.

1004024056320 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 1004024056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903996312218).

1004024056320 is an abundant number, since it is smaller than the sum of its proper divisors (2803968568116).

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

1004024056320 is an frugal number, since it uses more digits than its factorization.

1004024056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1004024056320 in words is "one trillion, four billion, twenty-four million, fifty-six thousand, three hundred twenty".