42001356384 has 432 divisors, whose sum is σ = 138587065344. Its totient is φ = 12494476800.

The previous prime is 42001356361. The next prime is 42001356389. The reversal of 42001356384 is 48365310024.

42001356384 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 13 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×42001356384² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001356389) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 40737949 + ... + 40738979.

It is an arithmetic number, because the mean of its divisors is an integer number (320803392).

Almost surely, 2^42001356384 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 42001356384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69293532672).

42001356384 is an abundant number, since it is smaller than the sum of its proper divisors (96585708960).

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

42001356384 is a wasteful number, since it uses less digits than its factorization.

42001356384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42001356384 in words is "forty-two billion, one million, three hundred fifty-six thousand, three hundred eighty-four".