42744719448816 has 480 divisors, whose sum is σ = 145944738938880. Its totient is φ = 10470197337600.

The previous prime is 42744719448811. The next prime is 42744719448829. The reversal of 42744719448816 is 61884491744724.

It is a super-2 number, since 2×42744719448816² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42744719448811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138664105 + ... + 138972023.

It is an arithmetic number, because the mean of its divisors is an integer number (304051539456).

Almost surely, 2^{42744719448816} is an apocalyptic number.

42744719448816 is a gapful number since it is divisible by the number (46) 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 42744719448816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72972369469440).

42744719448816 is an abundant number, since it is smaller than the sum of its proper divisors (103200019490064).

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

42744719448816 is a wasteful number, since it uses less digits than its factorization.

42744719448816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308065 (or 308036 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 69.

The spelling of 42744719448816 in words is "forty-two trillion, seven hundred forty-four billion, seven hundred nineteen million, four hundred forty-eight thousand, eight hundred sixteen".