4523020134400 has 288 divisors, whose sum is σ = 11431045866240. Its totient is φ = 1774485504000.

The previous prime is 4523020134397. The next prime is 4523020134403. The reversal of 4523020134400 is 44310203254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4523020134397) and next prime (4523020134403).

It is a super-2 number, since 2×4523020134400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4523020134403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826723665 + ... + 826729135.

It is an arithmetic number, because the mean of its divisors is an integer number (39691131480).

Almost surely, 2^{4523020134400} is an apocalyptic number.

4523020134400 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 4523020134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715522933120).

4523020134400 is an abundant number, since it is smaller than the sum of its proper divisors (6908025731840).

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

4523020134400 is a wasteful number, since it uses less digits than its factorization.

4523020134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 4523020134400 its reverse (44310203254), we get a palindrome (4567330337654).

The spelling of 4523020134400 in words is "four trillion, five hundred twenty-three billion, twenty million, one hundred thirty-four thousand, four hundred".