4168406370960 has 480 divisors, whose sum is σ = 15503701449600. Its totient is φ = 997333032960.

The previous prime is 4168406370929. The next prime is 4168406370979. The reversal of 4168406370960 is 690736048614.

4168406370960 is a `hidden beast` number, since 4 + 168 + 406 + 3 + 70 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×4168406370960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4168406370897 and 4168406370906.

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, 49106955 + ... + 49191765.

It is an arithmetic number, because the mean of its divisors is an integer number (32299378020).

Almost surely, 2^{4168406370960} is an apocalyptic number.

4168406370960 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 4168406370960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751850724800).

4168406370960 is an abundant number, since it is smaller than the sum of its proper divisors (11335295078640).

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

4168406370960 is a wasteful number, since it uses less digits than its factorization.

4168406370960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84991 (or 84982 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4168406370960 in words is "four trillion, one hundred sixty-eight billion, four hundred six million, three hundred seventy thousand, nine hundred sixty".