4160414831040 has 672 divisors, whose sum is σ = 15890443785216. Its totient is φ = 992599695360.

The previous prime is 4160414831003. The next prime is 4160414831087. The reversal of 4160414831040 is 401384140614.

It is a happy number.

4160414831040 is a `hidden beast` number, since 4 + 1 + 60 + 414 + 83 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4160414830986 and 4160414831004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210889657 + ... + 210909383.

It is an arithmetic number, because the mean of its divisors is an integer number (23646493728).

Almost surely, 2^{4160414831040} is an apocalyptic number.

4160414831040 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 4160414831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945221892608).

4160414831040 is an abundant number, since it is smaller than the sum of its proper divisors (11730028954176).

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

4160414831040 is a wasteful number, since it uses less digits than its factorization.

4160414831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19937 (or 19924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 4160414831040 its reverse (401384140614), we get a palindrome (4561798971654).

The spelling of 4160414831040 in words is "four trillion, one hundred sixty billion, four hundred fourteen million, eight hundred thirty-one thousand, forty".