4132600080 has 320 divisors, whose sum is σ = 15334637568. Its totient is φ = 900771840.

The previous prime is 4132600027. The next prime is 4132600099. The reversal of 4132600080 is 800062314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4132600080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3801297 + ... + 3802383.

Almost surely, 2^4132600080 is an apocalyptic number.

4132600080 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 4132600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667318784).

4132600080 is an abundant number, since it is smaller than the sum of its proper divisors (11202037488).

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

4132600080 is a wasteful number, since it uses less digits than its factorization.

4132600080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4132600080 is about 64285.3022082031. The cubic root of 4132600080 is about 1604.7515109137.

Adding to 4132600080 its reverse (800062314), we get a palindrome (4932662394).

The spelling of 4132600080 in words is "four billion, one hundred thirty-two million, six hundred thousand, eighty".