1004224005216 has 72 divisors (see below), whose sum is σ = 2855995257024. Its totient is φ = 334713995520.

The previous prime is 1004224005203. The next prime is 1004224005229. The reversal of 1004224005216 is 6125004224001.

1004224005216 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 2 + 400 + 5 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (1004224005203) and next prime (1004224005229).

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1004224005216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3556465 + ... + 3828431.

It is an arithmetic number, because the mean of its divisors is an integer number (39666600792).

Almost surely, 2^{1004224005216} is an apocalyptic number.

1004224005216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004224005216 is an abundant number, since it is smaller than the sum of its proper divisors (1851771251808).

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

1004224005216 is a wasteful number, since it uses less digits than its factorization.

1004224005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284804 (or 284793 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1004224005216 its reverse (6125004224001), we get a palindrome (7129228229217).

The spelling of 1004224005216 in words is "one trillion, four billion, two hundred twenty-four million, five thousand, two hundred sixteen".