42221536519680 has 1600 divisors, whose sum is σ = 178325711245440. Its totient is φ = 9346082144256.

The previous prime is 42221536519661. The next prime is 42221536519693. The reversal of 42221536519680 is 8691563512224.

42221536519680 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 15 + 36 + 519 + 6 + 80 = 666.

42221536519680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12298727244 + ... + 12298730676.

Almost surely, 2^{42221536519680} is an apocalyptic number.

42221536519680 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 42221536519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89162855622720).

42221536519680 is an abundant number, since it is smaller than the sum of its proper divisors (136104174725760).

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

42221536519680 is a wasteful number, since it uses less digits than its factorization.

42221536519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 42221536519680 in words is "forty-two trillion, two hundred twenty-one billion, five hundred thirty-six million, five hundred nineteen thousand, six hundred eighty".