742106351370244 has 192 divisors, whose sum is σ = 1544178860582400. Its totient is φ = 305442633646080.

The previous prime is 742106351370239. The next prime is 742106351370259. The reversal of 742106351370244 is 442073153601247.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36483267514 + ... + 36483287854.

It is an arithmetic number, because the mean of its divisors is an integer number (8042598232200).

Almost surely, 2^{742106351370244} is an apocalyptic number.

742106351370244 is a gapful number since it is divisible by the number (74) 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 742106351370244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772089430291200).

742106351370244 is an abundant number, since it is smaller than the sum of its proper divisors (802072509212156).

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

742106351370244 is a wasteful number, since it uses less digits than its factorization.

742106351370244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21678 (or 21676 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 742106351370244 in words is "seven hundred forty-two trillion, one hundred six billion, three hundred fifty-one million, three hundred seventy thousand, two hundred forty-four".