4160119401984 has 1600 divisors, whose sum is σ = 15557907087360. Its totient is φ = 962163671040.

The previous prime is 4160119401947. The next prime is 4160119401989. The reversal of 4160119401984 is 4891049110614.

It is a super-3 number, since 3×4160119401984³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160119401989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134197400049 + ... + 134197400079.

Almost surely, 2^{4160119401984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160119401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778953543680).

4160119401984 is an abundant number, since it is smaller than the sum of its proper divisors (11397787685376).

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

4160119401984 is an equidigital number, since it uses as much as digits as its factorization.

4160119401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 4160119401984 in words is "four trillion, one hundred sixty billion, one hundred nineteen million, four hundred one thousand, nine hundred eighty-four".