742973113344 has 1056 divisors, whose sum is σ = 2627270066176. Its totient is φ = 182476800000.

The previous prime is 742973113303. The next prime is 742973113357. The reversal of 742973113344 is 443311379247.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 742973113293 and 742973113302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4920351669 + ... + 4920351819.

Almost surely, 2^742973113344 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 742973113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313635033088).

742973113344 is an abundant number, since it is smaller than the sum of its proper divisors (1884296952832).

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

742973113344 is a wasteful number, since it uses less digits than its factorization.

742973113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 742973113344 in words is "seven hundred forty-two billion, nine hundred seventy-three million, one hundred thirteen thousand, three hundred forty-four".