4101132000000 has 504 divisors, whose sum is σ = 15592965407488. Its totient is φ = 937382400000.

The previous prime is 4101131999969. The next prime is 4101132000019. The reversal of 4101132000000 is 2311014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 4101132000000.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 83975589 + ... + 84024411.

Almost surely, 2^{4101132000000} is an apocalyptic number.

4101132000000 is a gapful number since it is divisible by the number (40) 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 4101132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796482703744).

4101132000000 is an abundant number, since it is smaller than the sum of its proper divisors (11491833407488).

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

4101132000000 is an frugal number, since it uses more digits than its factorization.

4101132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48879 (or 48840 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 4101132000000 its reverse (2311014), we get a palindrome (4101134311014).

The spelling of 4101132000000 in words is "four trillion, one hundred one billion, one hundred thirty-two million", and thus it is an aban number.