4542013440000 has 1275 divisors, whose sum is σ = 17427581183397. Its totient is φ = 1178468352000.

The previous prime is 4542013439989. The next prime is 4542013440007. The reversal of 4542013440000 is 443102454.

It is a happy number.

The square root of 4542013440000 is 2131200.

It is a perfect power (a square), and thus also a powerful number.

4542013440000 is a `hidden beast` number, since 4 + 54 + 201 + 3 + 4 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1508062593024 + 3033950846976 = 1228032^2 + 1741824^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4542013440007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 122757119982 + ... + 122757120018.

Almost surely, 2^{4542013440000} is an apocalyptic number.

4542013440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4542013440000 is the 2131200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4542013440000

4542013440000 is an abundant number, since it is smaller than the sum of its proper divisors (12885567743397).

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

4542013440000 is an frugal number, since it uses more digits than its factorization.

4542013440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 4542013440000 its reverse (443102454), we get a palindrome (4542456542454).

The spelling of 4542013440000 in words is "four trillion, five hundred forty-two billion, thirteen million, four hundred forty thousand".