4015222400 has 192 divisors, whose sum is σ = 11484384000. Its totient is φ = 1358622720.

The previous prime is 4015222397. The next prime is 4015222411. The reversal of 4015222400 is 42225104.

It is a happy number.

It is a super-2 number, since 2×4015222400² = 32244021842923520000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1768466 + ... + 1770734.

It is an arithmetic number, because the mean of its divisors is an integer number (59814500).

Almost surely, 2^4015222400 is an apocalyptic number.

4015222400 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 4015222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742192000).

4015222400 is an abundant number, since it is smaller than the sum of its proper divisors (7469161600).

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

4015222400 is a wasteful number, since it uses less digits than its factorization.

4015222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2362 counting only the distinct ones).

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

The square root of 4015222400 is about 63365.7825644093. The cubic root of 4015222400 is about 1589.4121740939.

Adding to 4015222400 its reverse (42225104), we get a palindrome (4057447504).

The spelling of 4015222400 in words is "four billion, fifteen million, two hundred twenty-two thousand, four hundred".