4542350400 has 504 divisors, whose sum is σ = 19145788480. Its totient is φ = 1037629440.

The previous prime is 4542350389. The next prime is 4542350413. The reversal of 4542350400 is 40532454.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2720766 + ... + 2722434.

Almost surely, 2^4542350400 is an apocalyptic number.

4542350400 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 4542350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9572894240).

4542350400 is an abundant number, since it is smaller than the sum of its proper divisors (14603438080).

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

4542350400 is a wasteful number, since it uses less digits than its factorization.

4542350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4542350400 is about 67396.9613558356. The cubic root of 4542350400 is about 1656.1266443788.

Adding to 4542350400 its reverse (40532454), we get a palindrome (4582882854).

The spelling of 4542350400 in words is "four billion, five hundred forty-two million, three hundred fifty thousand, four hundred".