4166507880 has 96 divisors (see below), whose sum is σ = 13977999360. Its totient is φ = 1075224960.

The previous prime is 4166507861. The next prime is 4166507893. The reversal of 4166507880 is 887056614.

It is a happy number.

4166507880 is a `hidden beast` number, since 4 + 1 + 66 + 507 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175512 + ... + 197831.

It is an arithmetic number, because the mean of its divisors is an integer number (145604160).

Almost surely, 2^4166507880 is an apocalyptic number.

4166507880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4166507880 is an abundant number, since it is smaller than the sum of its proper divisors (9811491480).

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

4166507880 is a wasteful number, since it uses less digits than its factorization.

4166507880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373391 (or 373384 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4166507880 is about 64548.4924688408. The cubic root of 4166507880 is about 1609.1285331709.

The spelling of 4166507880 in words is "four billion, one hundred sixty-six million, five hundred seven thousand, eight hundred eighty".