4155532400 has 60 divisors (see below), whose sum is σ = 9998244000. Its totient is φ = 1659786240.

The previous prime is 4155532397. The next prime is 4155532441. The reversal of 4155532400 is 42355514.

4155532400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280376 + ... + 294824.

It is an arithmetic number, because the mean of its divisors is an integer number (166637400).

Almost surely, 2^4155532400 is an apocalyptic number.

4155532400 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 4155532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999122000).

4155532400 is an abundant number, since it is smaller than the sum of its proper divisors (5842711600).

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

4155532400 is a wasteful number, since it uses less digits than its factorization.

4155532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 4155532400 is about 64463.4190840045. The cubic root of 4155532400 is about 1607.7143602098.

Adding to 4155532400 its reverse (42355514), we get a palindrome (4197887914).

The spelling of 4155532400 in words is "four billion, one hundred fifty-five million, five hundred thirty-two thousand, four hundred".