42159421624320 has 6552 divisors, whose sum is σ = 215161968045312. Its totient is φ = 7825666867200.

The previous prime is 42159421624319. The next prime is 42159421624373. The reversal of 42159421624320 is 2342612495124.

42159421624320 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 94 + 216 + 24 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (6552).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1359981342705 + ... + 1359981342735.

Almost surely, 2^{42159421624320} is an apocalyptic number.

42159421624320 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 42159421624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107580984022656).

42159421624320 is an abundant number, since it is smaller than the sum of its proper divisors (173002546420992).

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

42159421624320 is a wasteful number, since it uses less digits than its factorization.

42159421624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42159421624320 in words is "forty-two trillion, one hundred fifty-nine billion, four hundred twenty-one million, six hundred twenty-four thousand, three hundred twenty".