4016691168 has 192 divisors, whose sum is σ = 12628224000. Its totient is φ = 1093607424.

The previous prime is 4016691163. The next prime is 4016691179. The reversal of 4016691168 is 8611966104.

It is a super-2 number, since 2×4016691168² = 32267615878178408448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016691163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538248 + ... + 1540856.

It is an arithmetic number, because the mean of its divisors is an integer number (65772000).

Almost surely, 2^4016691168 is an apocalyptic number.

4016691168 is a gapful number since it is divisible by the number (48) 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 4016691168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112000).

4016691168 is an abundant number, since it is smaller than the sum of its proper divisors (8611532832).

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

4016691168 is a wasteful number, since it uses less digits than its factorization.

4016691168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 4016691168 is about 63377.3711035729. The cubic root of 4016691168 is about 1589.6059527455.

The spelling of 4016691168 in words is "four billion, sixteen million, six hundred ninety-one thousand, one hundred sixty-eight".