742053040300 has 144 divisors (see below), whose sum is σ = 1893263323392. Its totient is φ = 248883897600.

The previous prime is 742053040277. The next prime is 742053040343. The reversal of 742053040300 is 3040350247.

742053040300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18670249 + ... + 18709951.

It is an arithmetic number, because the mean of its divisors is an integer number (13147661968).

Almost surely, 2^742053040300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742053040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946631661696).

742053040300 is an abundant number, since it is smaller than the sum of its proper divisors (1151210283092).

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

742053040300 is a wasteful number, since it uses less digits than its factorization.

742053040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41048 (or 41041 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

Adding to 742053040300 its reverse (3040350247), we get a palindrome (745093390547).

The spelling of 742053040300 in words is "seven hundred forty-two billion, fifty-three million, forty thousand, three hundred".