4122400400 has 120 divisors (see below), whose sum is σ = 10401864000. Its totient is φ = 1567019520.

The previous prime is 4122400369. The next prime is 4122400439. The reversal of 4122400400 is 40042214.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498226 + ... + 1500974.

It is an arithmetic number, because the mean of its divisors is an integer number (86682200).

Almost surely, 2^4122400400 is an apocalyptic number.

4122400400 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 4122400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200932000).

4122400400 is an abundant number, since it is smaller than the sum of its proper divisors (6279463600).

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

4122400400 is a wasteful number, since it uses less digits than its factorization.

4122400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4122400400 is about 64205.9218452628. The cubic root of 4122400400 is about 1603.4301929383.

Adding to 4122400400 its reverse (40042214), we get a palindrome (4162442614).

The spelling of 4122400400 in words is "four billion, one hundred twenty-two million, four hundred thousand, four hundred".