42744796416 has 648 divisors, whose sum is σ = 153096172320. Its totient is φ = 11851370496.

The previous prime is 42744796403. The next prime is 42744796417. The reversal of 42744796416 is 61469744724.

It is a happy number.

42744796416 is a `hidden beast` number, since 42 + 74 + 479 + 64 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42744796417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112782915 + ... + 112783293.

Almost surely, 2^42744796416 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 42744796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76548086160).

42744796416 is an abundant number, since it is smaller than the sum of its proper divisors (110351375904).

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

42744796416 is an equidigital number, since it uses as much as digits as its factorization.

42744796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 428 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

It can be divided in two parts, 42744 and 796416, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 42744796416 in words is "forty-two billion, seven hundred forty-four million, seven hundred ninety-six thousand, four hundred sixteen".