4225120400 has 60 divisors (see below), whose sum is σ = 10162586532. Its totient is φ = 1688094720.

The previous prime is 4225120369. The next prime is 4225120429. The reversal of 4225120400 is 40215224.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1149752464 + 3075367936 = 33908^2 + 55456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369164 + ... + 380436.

Almost surely, 2^4225120400 is an apocalyptic number.

4225120400 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 4225120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081293266).

4225120400 is an abundant number, since it is smaller than the sum of its proper divisors (5937466132).

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

4225120400 is a wasteful number, since it uses less digits than its factorization.

4225120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228 (or 12217 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4225120400 is about 65000.9261472481. The cubic root of 4225120400 is about 1616.6389187618.

Adding to 4225120400 its reverse (40215224), we get a palindrome (4265335624).

The spelling of 4225120400 in words is "four billion, two hundred twenty-five million, one hundred twenty thousand, four hundred".