4330222401400 has 192 divisors, whose sum is σ = 11590738502400. Its totient is φ = 1473745674240.

The previous prime is 4330222401367. The next prime is 4330222401409. The reversal of 4330222401400 is 41042220334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330222401409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144581227 + ... + 144611173.

It is an arithmetic number, because the mean of its divisors is an integer number (60368429700).

Almost surely, 2^{4330222401400} is an apocalyptic number.

4330222401400 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 4330222401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795369251200).

4330222401400 is an abundant number, since it is smaller than the sum of its proper divisors (7260516101000).

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

4330222401400 is a wasteful number, since it uses less digits than its factorization.

4330222401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30726 (or 30717 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4330222401400 its reverse (41042220334), we get a palindrome (4371264621734).

The spelling of 4330222401400 in words is "four trillion, three hundred thirty billion, two hundred twenty-two million, four hundred one thousand, four hundred".