42868851951744 has 896 divisors, whose sum is σ = 166865430775680. Its totient is φ = 10640972021760.

The previous prime is 42868851951707. The next prime is 42868851951811. The reversal of 42868851951744 is 44715915886824.

42868851951744 is a `hidden beast` number, since 4 + 2 + 8 + 68 + 8 + 5 + 1 + 9 + 517 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 144205179 + ... + 144502149.

It is an arithmetic number, because the mean of its divisors is an integer number (186233739705).

Almost surely, 2^{42868851951744} 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 42868851951744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83432715387840).

42868851951744 is an abundant number, since it is smaller than the sum of its proper divisors (123996578823936).

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

42868851951744 is a wasteful number, since it uses less digits than its factorization.

42868851951744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297040 (or 297013 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 42868851951744 in words is "forty-two trillion, eight hundred sixty-eight billion, eight hundred fifty-one million, nine hundred fifty-one thousand, seven hundred forty-four".