42000375384 has 192 divisors, whose sum is σ = 127864807200. Its totient is φ = 12346214400.

The previous prime is 42000375383. The next prime is 42000375407. The reversal of 42000375384 is 48357300024.

It is a happy number.

42000375384 is a `hidden beast` number, since 4 + 200 + 0 + 3 + 75 + 384 = 666.

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 (42000375383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3520822 + ... + 3532730.

Almost surely, 2^42000375384 is an apocalyptic number.

42000375384 is a gapful number since it is divisible by the number (44) 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 42000375384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63932403600).

42000375384 is an abundant number, since it is smaller than the sum of its proper divisors (85864431816).

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

42000375384 is a wasteful number, since it uses less digits than its factorization.

42000375384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42000375384 in words is "forty-two billion, three hundred seventy-five thousand, three hundred eighty-four".