11042004202000 has 80 divisors (see below), whose sum is σ = 27421176240432. Its totient is φ = 4297428633600.

The previous prime is 11042004201983. The next prime is 11042004202003. The reversal of 11042004202000 is 20240024011.

It can be written as a sum of positive squares in 8 ways, for example, as 3991428596736 + 7050575605264 = 1997856^2 + 2655292^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11042004202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74534137 + ... + 74682136.

Almost surely, 2^{11042004202000} is an apocalyptic number.

11042004202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11042004202000 is an abundant number, since it is smaller than the sum of its proper divisors (16379172038432).

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

11042004202000 is a wasteful number, since it uses less digits than its factorization.

11042004202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149216333 (or 149216317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 11042004202000 its reverse (20240024011), we get a palindrome (11062244226011).

The spelling of 11042004202000 in words is "eleven trillion, forty-two billion, four million, two hundred two thousand".