4102141120000 has 800 divisors, whose sum is σ = 12842723013120. Its totient is φ = 1271255040000.

The previous prime is 4102141119907. The next prime is 4102141120019. The reversal of 4102141120000 is 211412014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5642559637 + ... + 5642560363.

Almost surely, 2^{4102141120000} is an apocalyptic number.

4102141120000 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 4102141120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421361506560).

4102141120000 is an abundant number, since it is smaller than the sum of its proper divisors (8740581893120).

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

4102141120000 is an equidigital number, since it uses as much as digits as its factorization.

4102141120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 4102141120000 its reverse (211412014), we get a palindrome (4102352532014).

The spelling of 4102141120000 in words is "four trillion, one hundred two billion, one hundred forty-one million, one hundred twenty thousand".