4423134122400 has 576 divisors, whose sum is σ = 17014958972928. Its totient is φ = 977108520960.

The previous prime is 4423134122399. The next prime is 4423134122443. The reversal of 4423134122400 is 42214313244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59619729 + ... + 59693871.

It is an arithmetic number, because the mean of its divisors is an integer number (29539859328).

Almost surely, 2^{4423134122400} is an apocalyptic number.

4423134122400 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 4423134122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507479486464).

4423134122400 is an abundant number, since it is smaller than the sum of its proper divisors (12591824850528).

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

4423134122400 is a wasteful number, since it uses less digits than its factorization.

4423134122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74293 (or 74280 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4423134122400 its reverse (42214313244), we get a palindrome (4465348435644).

The spelling of 4423134122400 in words is "four trillion, four hundred twenty-three billion, one hundred thirty-four million, one hundred twenty-two thousand, four hundred".