11004214032400 has 120 divisors (see below), whose sum is σ = 27995722534080. Its totient is φ = 4145047303680.

The previous prime is 11004214032389. The next prime is 11004214032437. The reversal of 11004214032400 is 423041240011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3065899 + ... + 5604298.

It is an arithmetic number, because the mean of its divisors is an integer number (233297687784).

Almost surely, 2^{11004214032400} is an apocalyptic number.

11004214032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004214032400 is an abundant number, since it is smaller than the sum of its proper divisors (16991508501680).

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

11004214032400 is a wasteful number, since it uses less digits than its factorization.

11004214032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670401 (or 8670390 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11004214032400 its reverse (423041240011), we get a palindrome (11427255272411).

The spelling of 11004214032400 in words is "eleven trillion, four billion, two hundred fourteen million, thirty-two thousand, four hundred".