42766536970944 has 168 divisors, whose sum is σ = 125588219658720. Its totient is φ = 13906062028800.

The previous prime is 42766536970939. The next prime is 42766536970981. The reversal of 42766536970944 is 44907963566724.

42766536970944 is a `hidden beast` number, since 4 + 27 + 66 + 536 + 9 + 7 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×42766536970944² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 194036997 + ... + 194257275.

It is an arithmetic number, because the mean of its divisors is an integer number (747548926540).

Almost surely, 2^{42766536970944} 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 42766536970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62794109829360).

42766536970944 is an abundant number, since it is smaller than the sum of its proper divisors (82821682687776).

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

42766536970944 is a wasteful number, since it uses less digits than its factorization.

42766536970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228559 (or 228546 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 42766536970944 in words is "forty-two trillion, seven hundred sixty-six billion, five hundred thirty-six million, nine hundred seventy thousand, nine hundred forty-four".