4137493916160 has 960 divisors, whose sum is σ = 16077783705984. Its totient is φ = 974625177600.

The previous prime is 4137493916147. The next prime is 4137493916239. The reversal of 4137493916160 is 616193947314.

4137493916160 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 493 + 91 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4137493916160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4137493916097 and 4137493916106.

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, 3190048632 + ... + 3190049928.

Almost surely, 2^{4137493916160} is an apocalyptic number.

4137493916160 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 4137493916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038891852992).

4137493916160 is an abundant number, since it is smaller than the sum of its proper divisors (11940289789824).

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

4137493916160 is a wasteful number, since it uses less digits than its factorization.

4137493916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 4137493916160 in words is "four trillion, one hundred thirty-seven billion, four hundred ninety-three million, nine hundred sixteen thousand, one hundred sixty".