4132042400 has 72 divisors (see below), whose sum is σ = 10252835964. Its totient is φ = 1625702400.

The previous prime is 4132042399. The next prime is 4132042441. The reversal of 4132042400 is 42402314.

It can be written as a sum of positive squares in 6 ways, for example, as 1197436816 + 2934605584 = 34604^2 + 54172^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6464 + ... + 91136.

Almost surely, 2^4132042400 is an apocalyptic number.

4132042400 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 4132042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126417982).

4132042400 is an abundant number, since it is smaller than the sum of its proper divisors (6120793564).

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

4132042400 is a wasteful number, since it uses less digits than its factorization.

4132042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84754 (or 84741 counting only the distinct ones).

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

The square root of 4132042400 is about 64280.9645229441. The cubic root of 4132042400 is about 1604.6793224557.

Adding to 4132042400 its reverse (42402314), we get a palindrome (4174444714).

The spelling of 4132042400 in words is "four billion, one hundred thirty-two million, forty-two thousand, four hundred".