4016900160 has 840 divisors, whose sum is σ = 17817852096. Its totient is φ = 841052160.

The previous prime is 4016900149. The next prime is 4016900177. The reversal of 4016900160 is 610096104.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×4016900160² = 32270973790816051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30663295 + ... + 30663425.

Almost surely, 2^4016900160 is an apocalyptic number.

4016900160 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 4016900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908926048).

4016900160 is an abundant number, since it is smaller than the sum of its proper divisors (13800951936).

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

4016900160 is a wasteful number, since it uses less digits than its factorization.

4016900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4016900160 is about 63379.0198725099. The cubic root of 4016900160 is about 1589.6335218027.

Adding to 4016900160 its reverse (610096104), we get a palindrome (4626996264).

The spelling of 4016900160 in words is "four billion, sixteen million, nine hundred thousand, one hundred sixty".