4116692160 has 392 divisors, whose sum is σ = 16803904416. Its totient is φ = 940584960.

The previous prime is 4116692159. The next prime is 4116692201. The reversal of 4116692160 is 612966114.

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

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 55 ways as a sum of consecutive naturals, for example, 1631700 + ... + 1634220.

Almost surely, 2^4116692160 is an apocalyptic number.

4116692160 is a gapful number since it is divisible by the number (40) 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 4116692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401952208).

4116692160 is an abundant number, since it is smaller than the sum of its proper divisors (12687212256).

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

4116692160 is an equidigital number, since it uses as much as digits as its factorization.

4116692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4116692160 is about 64161.4538488647. The cubic root of 4116692160 is about 1602.6897673525.

The spelling of 4116692160 in words is "four billion, one hundred sixteen million, six hundred ninety-two thousand, one hundred sixty".