42432144381 has 192 divisors, whose sum is σ = 77409976320. Its totient is φ = 22737024000.

The previous prime is 42432144373. The next prime is 42432144407. The reversal of 42432144381 is 18344123424.

42432144381 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 214 + 438 + 1 = 666.

It is not a de Polignac number, because 42432144381 - 2³ = 42432144373 is a prime.

It is a super-3 number, since 3×42432144381³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42432144331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98450236 + ... + 98450666.

It is an arithmetic number, because the mean of its divisors is an integer number (403176960).

Almost surely, 2^42432144381 is an apocalyptic number.

It is an amenable number.

42432144381 is a deficient number, since it is larger than the sum of its proper divisors (34977831939).

42432144381 is a wasteful number, since it uses less digits than its factorization.

42432144381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 530 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 42432144381 in words is "forty-two billion, four hundred thirty-two million, one hundred forty-four thousand, three hundred eighty-one".