42944286913164 has 1728 divisors, whose sum is σ = 153752917893120. Its totient is φ = 10356780994560.

The previous prime is 42944286913153. The next prime is 42944286913169. The reversal of 42944286913164 is 46131968244924.

42944286913164 is a `hidden beast` number, since 4 + 2 + 94 + 428 + 6 + 91 + 31 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42944286913169) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39290289402 + ... + 39290290494.

It is an arithmetic number, because the mean of its divisors is an integer number (88977383040).

Almost surely, 2^{42944286913164} 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 42944286913164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876458946560).

42944286913164 is an abundant number, since it is smaller than the sum of its proper divisors (110808630979956).

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

42944286913164 is a wasteful number, since it uses less digits than its factorization.

42944286913164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1261 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 42944286913164 in words is "forty-two trillion, nine hundred forty-four billion, two hundred eighty-six million, nine hundred thirteen thousand, one hundred sixty-four".