10414004211332 has 24 divisors (see below), whose sum is σ = 18243416415000. Its totient is φ = 5201601500160.

The previous prime is 10414004211329. The next prime is 10414004211337. The reversal of 10414004211332 is 23311240041401.

It can be written as a sum of positive squares in 4 ways, for example, as 1035318460036 + 9378685751296 = 1017506^2 + 3062464^2 .

It is not an unprimeable number, because it can be changed into a prime (10414004211337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21043358 + ... + 21532554.

It is an arithmetic number, because the mean of its divisors is an integer number (760142350625).

Almost surely, 2^{10414004211332} is an apocalyptic number.

It is an amenable number.

10414004211332 is a deficient number, since it is larger than the sum of its proper divisors (7829412203668).

10414004211332 is a wasteful number, since it uses less digits than its factorization.

10414004211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494711 (or 494709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10414004211332 its reverse (23311240041401), we get a palindrome (33725244252733).

The spelling of 10414004211332 in words is "ten trillion, four hundred fourteen billion, four million, two hundred eleven thousand, three hundred thirty-two".