4101142012000 has 384 divisors, whose sum is σ = 11344103447040. Its totient is φ = 1444020480000.

The previous prime is 4101142011959. The next prime is 4101142012057. The reversal of 4101142012000 is 2102411014.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 343502031 + ... + 343513969.

It is an arithmetic number, because the mean of its divisors is an integer number (29541936060).

Almost surely, 2^{4101142012000} is an apocalyptic number.

4101142012000 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 4101142012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672051723520).

4101142012000 is an abundant number, since it is smaller than the sum of its proper divisors (7242961435040).

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

4101142012000 is a wasteful number, since it uses less digits than its factorization.

4101142012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12223 (or 12205 counting only the distinct ones).

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

Adding to 4101142012000 its reverse (2102411014), we get a palindrome (4103244423014).

The spelling of 4101142012000 in words is "four trillion, one hundred one billion, one hundred forty-two million, twelve thousand".