4267168542 has 288 divisors, whose sum is σ = 12332736000. Its totient is φ = 1040802048.

The previous prime is 4267168537. The next prime is 4267168567. The reversal of 4267168542 is 2458617624.

4267168542 is a `hidden beast` number, since 42 + 6 + 7 + 1 + 68 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21442959 + ... + 21443157.

It is an arithmetic number, because the mean of its divisors is an integer number (42822000).

Almost surely, 2^4267168542 is an apocalyptic number.

4267168542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4267168542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166368000).

4267168542 is an abundant number, since it is smaller than the sum of its proper divisors (8065567458).

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

4267168542 is a wasteful number, since it uses less digits than its factorization.

4267168542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4267168542 is about 65323.5680440069. The cubic root of 4267168542 is about 1621.9841235587.

The spelling of 4267168542 in words is "four billion, two hundred sixty-seven million, one hundred sixty-eight thousand, five hundred forty-two".