4143101985792 has 440 divisors, whose sum is σ = 15424995241920. Its totient is φ = 1076128727040.

The previous prime is 4143101985767. The next prime is 4143101985797. The reversal of 4143101985792 is 2975891013414.

4143101985792 is a `hidden beast` number, since 4 + 1 + 4 + 310 + 198 + 57 + 92 = 666.

It is a super-2 number, since 2×4143101985792² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4143101985797) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6062334 + ... + 6711042.

It is an arithmetic number, because the mean of its divisors is an integer number (35056807368).

Almost surely, 2^{4143101985792} is an apocalyptic number.

4143101985792 is a gapful number since it is divisible by the number (42) 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 4143101985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712497620960).

4143101985792 is an abundant number, since it is smaller than the sum of its proper divisors (11281893256128).

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

4143101985792 is a wasteful number, since it uses less digits than its factorization.

4143101985792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648759 (or 648732 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 4143101985792 in words is "four trillion, one hundred forty-three billion, one hundred one million, nine hundred eighty-five thousand, seven hundred ninety-two".