4222610222400 has 1008 divisors, whose sum is σ = 16509080934528. Its totient is φ = 1059277824000.

The previous prime is 4222610222393. The next prime is 4222610222401. The reversal of 4222610222400 is 42220162224.

4222610222400 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 610 + 2 + 2 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222610222401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 545482530 + ... + 545490270.

Almost surely, 2^{4222610222400} is an apocalyptic number.

4222610222400 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 4222610222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254540467264).

4222610222400 is an abundant number, since it is smaller than the sum of its proper divisors (12286470712128).

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

4222610222400 is a wasteful number, since it uses less digits than its factorization.

4222610222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7862 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4222610222400 its reverse (42220162224), we get a palindrome (4264830384624).

The spelling of 4222610222400 in words is "four trillion, two hundred twenty-two billion, six hundred ten million, two hundred twenty-two thousand, four hundred".