42286394588544 has 384 divisors, whose sum is σ = 127212702271200. Its totient is φ = 13465460736000.

The previous prime is 42286394588509. The next prime is 42286394588561. The reversal of 42286394588544 is 44588549368224.

It is a happy number.

42286394588544 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 6 + 39 + 4 + 588 + 5 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6319888239 + ... + 6319894929.

Almost surely, 2^{42286394588544} 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 42286394588544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63606351135600).

42286394588544 is an abundant number, since it is smaller than the sum of its proper divisors (84926307682656).

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

42286394588544 is a wasteful number, since it uses less digits than its factorization.

42286394588544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8699 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 72.

The spelling of 42286394588544 in words is "forty-two trillion, two hundred eighty-six billion, three hundred ninety-four million, five hundred eighty-eight thousand, five hundred forty-four".