4162904064 has 448 divisors, whose sum is σ = 14154912000. Its totient is φ = 1197342720.

The previous prime is 4162904041. The next prime is 4162904147. The reversal of 4162904064 is 4604092614.

4162904064 is a `hidden beast` number, since 4 + 162 + 90 + 406 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70557667 + ... + 70557725.

Almost surely, 2^4162904064 is an apocalyptic number.

4162904064 is a gapful number since it is divisible by the number (44) 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 4162904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077456000).

4162904064 is an abundant number, since it is smaller than the sum of its proper divisors (9992007936).

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

4162904064 is a wasteful number, since it uses less digits than its factorization.

4162904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4162904064 is about 64520.5708592229. The cubic root of 4162904064 is about 1608.6644614133.

Adding to 4162904064 its reverse (4604092614), we get a palindrome (8766996678).

The spelling of 4162904064 in words is "four billion, one hundred sixty-two million, nine hundred four thousand, sixty-four".