4132132400 has 60 divisors (see below), whose sum is σ = 10829954904. Its totient is φ = 1502592000.

The previous prime is 4132132363. The next prime is 4132132409. The reversal of 4132132400 is 42312314.

4132132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4132132400² = 34149036342259520000, which contains 22 as substring.

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 (4132132409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465161 + ... + 473960.

Almost surely, 2^4132132400 is an apocalyptic number.

4132132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132132400 is an abundant number, since it is smaller than the sum of its proper divisors (6697822504).

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

4132132400 is a wasteful number, since it uses less digits than its factorization.

4132132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939150 (or 939139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4132132400 is about 64281.6645708557. The cubic root of 4132132400 is about 1604.6909728759.

Adding to 4132132400 its reverse (42312314), we get a palindrome (4174444714).

The spelling of 4132132400 in words is "four billion, one hundred thirty-two million, one hundred thirty-two thousand, four hundred".