4122254400 has 336 divisors, whose sum is σ = 14919277248. Its totient is φ = 988160000.

The previous prime is 4122254363. The next prime is 4122254443. The reversal of 4122254400 is 44522214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5332414 + ... + 5333186.

Almost surely, 2^4122254400 is an apocalyptic number.

4122254400 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 4122254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459638624).

4122254400 is an abundant number, since it is smaller than the sum of its proper divisors (10797022848).

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

4122254400 is a wasteful number, since it uses less digits than its factorization.

4122254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4122254400 is about 64204.7848684193. The cubic root of 4122254400 is about 1603.4112635486.

Adding to 4122254400 its reverse (44522214), we get a palindrome (4166776614).

The spelling of 4122254400 in words is "four billion, one hundred twenty-two million, two hundred fifty-four thousand, four hundred".