4553126400 has 120 divisors (see below), whose sum is σ = 15041095344. Its totient is φ = 1214156800.

The previous prime is 4553126393. The next prime is 4553126401. The reversal of 4553126400 is 46213554.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (4553126401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20886 + ... + 97685.

Almost surely, 2^4553126400 is an apocalyptic number.

4553126400 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 4553126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520547672).

4553126400 is an abundant number, since it is smaller than the sum of its proper divisors (10487968944).

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

4553126400 is a wasteful number, since it uses less digits than its factorization.

4553126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118602 (or 118581 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4553126400 is about 67476.8582552567. The cubic root of 4553126400 is about 1657.4352419936.

Adding to 4553126400 its reverse (46213554), we get a palindrome (4599339954).

The spelling of 4553126400 in words is "four billion, five hundred fifty-three million, one hundred twenty-six thousand, four hundred".