42654186432 has 336 divisors, whose sum is σ = 146987288448. Its totient is φ = 11652802560.

The previous prime is 42654186427. The next prime is 42654186433. The reversal of 42654186432 is 23468145624.

42654186432 is a `hidden beast` number, since 4 + 26 + 541 + 86 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42654186433) 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 47 ways as a sum of consecutive naturals, for example, 3535803 + ... + 3547845.

It is an arithmetic number, because the mean of its divisors is an integer number (437462168).

Almost surely, 2^42654186432 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 42654186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73493644224).

42654186432 is an abundant number, since it is smaller than the sum of its proper divisors (104333102016).

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

42654186432 is a wasteful number, since it uses less digits than its factorization.

42654186432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12128 (or 12115 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 42654186432 in words is "forty-two billion, six hundred fifty-four million, one hundred eighty-six thousand, four hundred thirty-two".