4163838981120 has 3696 divisors, whose sum is σ = 19810291398912. Its totient is φ = 819831767040.

The previous prime is 4163838981103. The next prime is 4163838981191. The reversal of 4163838981120 is 211898383614.

4163838981120 is a `hidden beast` number, since 4 + 1 + 63 + 8 + 389 + 81 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 101557048300 + ... + 101557048340.

Almost surely, 2^{4163838981120} is an apocalyptic number.

4163838981120 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 4163838981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905145699456).

4163838981120 is an abundant number, since it is smaller than the sum of its proper divisors (15646452417792).

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

4163838981120 is a wasteful number, since it uses less digits than its factorization.

4163838981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 4163838981120 in words is "four trillion, one hundred sixty-three billion, eight hundred thirty-eight million, nine hundred eighty-one thousand, one hundred twenty".