42004624284 has 72 divisors (see below), whose sum is σ = 128484746208. Its totient is φ = 11295360000.

The previous prime is 42004624283. The next prime is 42004624393. The reversal of 42004624284 is 48242640024.

It is a happy number.

42004624284 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 624 + 28 + 4 = 666.

It is a super-2 number, since 2×42004624284² (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 (42004624283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4898217 + ... + 4906784.

It is an arithmetic number, because the mean of its divisors is an integer number (1784510364).

Almost surely, 2^42004624284 is an apocalyptic number.

It is an amenable number.

42004624284 is an abundant number, since it is smaller than the sum of its proper divisors (86480121924).

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

42004624284 is a wasteful number, since it uses less digits than its factorization.

42004624284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805035 (or 9805030 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 42004624284 in words is "forty-two billion, four million, six hundred twenty-four thousand, two hundred eighty-four".