4166713440 has 96 divisors (see below), whose sum is σ = 14583512160. Its totient is φ = 1111122432.

The previous prime is 4166713391. The next prime is 4166713469. The reversal of 4166713440 is 443176614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4166713395 and 4166713404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477939 + ... + 486578.

It is an arithmetic number, because the mean of its divisors is an integer number (151911585).

Almost surely, 2^4166713440 is an apocalyptic number.

4166713440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4166713440 is an abundant number, since it is smaller than the sum of its proper divisors (10416798720).

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

4166713440 is a wasteful number, since it uses less digits than its factorization.

4166713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964541 (or 964527 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4166713440 is about 64550.0847404556. The cubic root of 4166713440 is about 1609.1549955411.

The spelling of 4166713440 in words is "four billion, one hundred sixty-six million, seven hundred thirteen thousand, four hundred forty".