42204001204320 has 96 divisors (see below), whose sum is σ = 139939582970880. Its totient is φ = 10662063459840.

The previous prime is 42204001204319. The next prime is 42204001204331. The reversal of 42204001204320 is 2340210040224.

42204001204320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313806736 + ... + 2313824975.

It is an arithmetic number, because the mean of its divisors is an integer number (1457703989280).

Almost surely, 2^{42204001204320} is an apocalyptic number.

42204001204320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42204001204320 is an abundant number, since it is smaller than the sum of its proper divisors (97735581766560).

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

42204001204320 is a wasteful number, since it uses less digits than its factorization.

42204001204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627631748 (or 4627631740 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42204001204320 its reverse (2340210040224), we get a palindrome (44544211244544).

The spelling of 42204001204320 in words is "forty-two trillion, two hundred four billion, one million, two hundred four thousand, three hundred twenty".