4542938400 has 1152 divisors, whose sum is σ = 20830666752. Its totient is φ = 829440000.

The previous prime is 4542938377. The next prime is 4542938401. The reversal of 4542938400 is 48392454.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4542938401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74474370 + ... + 74474430.

It is an arithmetic number, because the mean of its divisors is an integer number (18082176).

Almost surely, 2^4542938400 is an apocalyptic number.

4542938400 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 4542938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415333376).

4542938400 is an abundant number, since it is smaller than the sum of its proper divisors (16287728352).

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

4542938400 is a wasteful number, since it uses less digits than its factorization.

4542938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4542938400 is about 67401.3234291434. The cubic root of 4542938400 is about 1656.1981022779.

The spelling of 4542938400 in words is "four billion, five hundred forty-two million, nine hundred thirty-eight thousand, four hundred".