4132215400 has 48 divisors (see below), whose sum is σ = 9629294400. Its totient is φ = 1649119680.

The previous prime is 4132215377. The next prime is 4132215403. The reversal of 4132215400 is 45122314.

4132215400 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 2×4132215400² = 34150408223994320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4132215403) 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, 65281 + ... + 111919.

It is an arithmetic number, because the mean of its divisors is an integer number (200610300).

Almost surely, 2^4132215400 is an apocalyptic number.

4132215400 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 4132215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814647200).

4132215400 is an abundant number, since it is smaller than the sum of its proper divisors (5497079000).

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

4132215400 is a wasteful number, since it uses less digits than its factorization.

4132215400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47098 (or 47089 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4132215400 is about 64282.3101638390. The cubic root of 4132215400 is about 1604.7017170023.

Adding to 4132215400 its reverse (45122314), we get a palindrome (4177337714).

The spelling of 4132215400 in words is "four billion, one hundred thirty-two million, two hundred fifteen thousand, four hundred".