4132405000 has 80 divisors (see below), whose sum is σ = 10192050000. Its totient is φ = 1565928000.

The previous prime is 4132404973. The next prime is 4132405031. The reversal of 4132405000 is 5042314.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 19 ways as a sum of consecutive naturals, for example, 73251 + ... + 116749.

It is an arithmetic number, because the mean of its divisors is an integer number (127400625).

Almost surely, 2^4132405000 is an apocalyptic number.

4132405000 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 4132405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096025000).

4132405000 is an abundant number, since it is smaller than the sum of its proper divisors (6059645000).

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

4132405000 is a wasteful number, since it uses less digits than its factorization.

4132405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43544 (or 43525 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4132405000 is about 64283.7848916817. The cubic root of 4132405000 is about 1604.7262596720.

Adding to 4132405000 its reverse (5042314), we get a palindrome (4137447314).

The spelling of 4132405000 in words is "four billion, one hundred thirty-two million, four hundred five thousand".