4117989957120 has 1920 divisors, whose sum is σ = 17032125052800. Its totient is φ = 939264049152.

The previous prime is 4117989957101. The next prime is 4117989957197. The reversal of 4117989957120 is 217599897114.

4117989957120 is a `hidden beast` number, since 41 + 17 + 9 + 8 + 9 + 9 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17673776524 + ... + 17673776756.

It is an arithmetic number, because the mean of its divisors is an integer number (8870898465).

Almost surely, 2^{4117989957120} is an apocalyptic number.

4117989957120 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 4117989957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516062526400).

4117989957120 is an abundant number, since it is smaller than the sum of its proper divisors (12914135095680).

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

4117989957120 is a wasteful number, since it uses less digits than its factorization.

4117989957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 4117989957120 in words is "four trillion, one hundred seventeen billion, nine hundred eighty-nine million, nine hundred fifty-seven thousand, one hundred twenty".