4167146560 has 28 divisors (see below), whose sum is σ = 9923018508. Its totient is φ = 1666858496.

The previous prime is 4167146537. The next prime is 4167146563. The reversal of 4167146560 is 656417614.

It can be written as a sum of positive squares in 2 ways, for example, as 3063843904 + 1103302656 = 55352^2 + 33216^2 .

It is a super-2 number, since 2×4167146560² = 34730220905039667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4167146563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6510847 + ... + 6511486.

Almost surely, 2^4167146560 is an apocalyptic number.

4167146560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4167146560 is an abundant number, since it is smaller than the sum of its proper divisors (5755871948).

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

4167146560 is a wasteful number, since it uses less digits than its factorization.

4167146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13022350 (or 13022340 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 4167146560 is about 64553.4395675397. The cubic root of 4167146560 is about 1609.2107495603.

The spelling of 4167146560 in words is "four billion, one hundred sixty-seven million, one hundred forty-six thousand, five hundred sixty".