4122400000 has 108 divisors (see below), whose sum is σ = 10287208764. Its totient is φ = 1648640000.

The previous prime is 4122399997. The next prime is 4122400001. The reversal of 4122400000 is 42214.

4122400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3184570624 + 937829376 = 56432^2 + 30624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122400001) 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, 797424 + ... + 802576.

It is an arithmetic number, because the mean of its divisors is an integer number (95251933).

Almost surely, 2^4122400000 is an apocalyptic number.

4122400000 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 4122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143604382).

4122400000 is an abundant number, since it is smaller than the sum of its proper divisors (6164808764).

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

4122400000 is an frugal number, since it uses more digits than its factorization.

4122400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4122400000 is about 64205.9187302853. The cubic root of 4122400000 is about 1603.4301410776.

Adding to 4122400000 its reverse (42214), we get a palindrome (4122442214).

The spelling of 4122400000 in words is "four billion, one hundred twenty-two million, four hundred thousand".