42869331348480 has 4224 divisors, whose sum is σ = 203367989260800. Its totient is φ = 8092121038848.

The previous prime is 42869331348461. The next prime is 42869331348527. The reversal of 42869331348480 is 8484313396824.

42869331348480 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 93 + 31 + 34 + 8 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 183988546444 + ... + 183988546676.

Almost surely, 2^{42869331348480} is an apocalyptic number.

42869331348480 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 42869331348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101683994630400).

42869331348480 is an abundant number, since it is smaller than the sum of its proper divisors (160498657912320).

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

42869331348480 is a wasteful number, since it uses less digits than its factorization.

42869331348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 42869331348480 in words is "forty-two trillion, eight hundred sixty-nine billion, three hundred thirty-one million, three hundred forty-eight thousand, four hundred eighty".