742350438144 has 720 divisors, whose sum is σ = 2724521184000. Its totient is φ = 196201709568.

The previous prime is 742350438139. The next prime is 742350438149. The reversal of 742350438144 is 441834053247.

742350438144 is a `hidden beast` number, since 7 + 4 + 23 + 50 + 438 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (742350438139) and next prime (742350438149).

It is a self number, because there is not a number n which added to its sum of digits gives 742350438144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742350438149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145584907 + ... + 145590005.

It is an arithmetic number, because the mean of its divisors is an integer number (3784057200).

Almost surely, 2^742350438144 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 742350438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362260592000).

742350438144 is an abundant number, since it is smaller than the sum of its proper divisors (1982170745856).

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

742350438144 is a wasteful number, since it uses less digits than its factorization.

742350438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 742350438144 in words is "seven hundred forty-two billion, three hundred fifty million, four hundred thirty-eight thousand, one hundred forty-four".