42381153504 has 384 divisors, whose sum is σ = 134817177600. Its totient is φ = 12913274880.

The previous prime is 42381153457. The next prime is 42381153533. The reversal of 42381153504 is 40535118324.

42381153504 is a `hidden beast` number, since 4 + 2 + 38 + 115 + 3 + 504 = 666.

It is a super-2 number, since 2×42381153504² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54826462 + ... + 54827234.

It is an arithmetic number, because the mean of its divisors is an integer number (351086400).

Almost surely, 2^42381153504 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 42381153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67408588800).

42381153504 is an abundant number, since it is smaller than the sum of its proper divisors (92436024096).

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

42381153504 is a wasteful number, since it uses less digits than its factorization.

42381153504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42381153504 in words is "forty-two billion, three hundred eighty-one million, one hundred fifty-three thousand, five hundred four".