42759448896384 has 768 divisors, whose sum is σ = 146620245657600. Its totient is φ = 11820888576000.

The previous prime is 42759448896383. The next prime is 42759448896391. The reversal of 42759448896384 is 48369884495724.

42759448896384 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 9 + 448 + 8 + 96 + 3 + 84 = 666.

Its product of digits (13377208320) is a multiple of the sum of its prime divisors (58320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42759448896383) 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, 735035619 + ... + 735093789.

It is an arithmetic number, because the mean of its divisors is an integer number (190911778200).

Almost surely, 2^{42759448896384} is an apocalyptic number.

42759448896384 is a gapful number since it is divisible by the number (44) 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 42759448896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73310122828800).

42759448896384 is an abundant number, since it is smaller than the sum of its proper divisors (103860796761216).

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

42759448896384 is a wasteful number, since it uses less digits than its factorization.

42759448896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58335 (or 58320 counting only the distinct ones).

The product of its digits is 13377208320, while the sum is 81.

The spelling of 42759448896384 in words is "forty-two trillion, seven hundred fifty-nine billion, four hundred forty-eight million, eight hundred ninety-six thousand, three hundred eighty-four".