4132442000 has 80 divisors (see below), whose sum is σ = 10336950000. Its totient is φ = 1595955200.

The previous prime is 4132441997. The next prime is 4132442003. The reversal of 4132442000 is 2442314.

It is an interprime number because it is at equal distance from previous prime (4132441997) and next prime (4132442003).

It can be written as a sum of positive squares in 8 ways, for example, as 410953984 + 3721488016 = 20272^2 + 61004^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4132442003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22376 + ... + 93624.

It is an arithmetic number, because the mean of its divisors is an integer number (129211875).

Almost surely, 2^4132442000 is an apocalyptic number.

4132442000 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 4132442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168475000).

4132442000 is an abundant number, since it is smaller than the sum of its proper divisors (6204508000).

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

4132442000 is a wasteful number, since it uses less digits than its factorization.

4132442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71301 (or 71285 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4132442000 is about 64284.0726774525. The cubic root of 4132442000 is about 1604.7310490294.

Adding to 4132442000 its reverse (2442314), we get a palindrome (4134884314).

The spelling of 4132442000 in words is "four billion, one hundred thirty-two million, four hundred forty-two thousand".