42863942983680 has 3360 divisors, whose sum is σ = 194188670970624. Its totient is φ = 8854183084032.

The previous prime is 42863942983639. The next prime is 42863942983709. The reversal of 42863942983680 is 8638924936824.

42863942983680 is a `hidden beast` number, since 4 + 2 + 8 + 63 + 9 + 429 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a junction number, because it is equal to n+sod(n) for n = 42863942983599 and 42863942983608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 262968975279 + ... + 262968975441.

Almost surely, 2^{42863942983680} is an apocalyptic number.

42863942983680 is a gapful number since it is divisible by the number (40) 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 42863942983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97094335485312).

42863942983680 is an abundant number, since it is smaller than the sum of its proper divisors (151324727986944).

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

42863942983680 is a wasteful number, since it uses less digits than its factorization.

42863942983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 42863942983680 in words is "forty-two trillion, eight hundred sixty-three billion, nine hundred forty-two million, nine hundred eighty-three thousand, six hundred eighty".