42228464004 has 72 divisors (see below), whose sum is σ = 107881195968. Its totient is φ = 13926427200.

The previous prime is 42228463951. The next prime is 42228464021. The reversal of 42228464004 is 40046482224.

It is a happy number.

42228464004 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 8 + 4 + 640 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42228464004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057729 + ... + 6064695.

It is an arithmetic number, because the mean of its divisors is an integer number (1498349944).

Almost surely, 2^42228464004 is an apocalyptic number.

It is an amenable number.

42228464004 is an abundant number, since it is smaller than the sum of its proper divisors (65652731964).

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

42228464004 is a wasteful number, since it uses less digits than its factorization.

42228464004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745 (or 8740 counting only the distinct ones).

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

The spelling of 42228464004 in words is "forty-two billion, two hundred twenty-eight million, four hundred sixty-four thousand, four".