42063480486144 has 360 divisors, whose sum is σ = 135653736129912. Its totient is φ = 12887042457600.

The previous prime is 42063480486143. The next prime is 42063480486227. The reversal of 42063480486144 is 44168408436024.

42063480486144 is a `hidden beast` number, since 4 + 2 + 0 + 63 + 480 + 4 + 8 + 61 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4693635590400 + 37369844895744 = 2166480^2 + 6113088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42063480486143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62474494 + ... + 63144194.

Almost surely, 2^{42063480486144} 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 42063480486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67826868064956).

42063480486144 is an abundant number, since it is smaller than the sum of its proper divisors (93590255643768).

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

42063480486144 is a wasteful number, since it uses less digits than its factorization.

42063480486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669975 (or 669952 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 42063480486144 in words is "forty-two trillion, sixty-three billion, four hundred eighty million, four hundred eighty-six thousand, one hundred forty-four".