42302312322400 has 144 divisors (see below), whose sum is σ = 111218010685488. Its totient is φ = 15618809088000.

The previous prime is 42302312322383. The next prime is 42302312322437. The reversal of 42302312322400 is 422321320324.

It is a congruent number.

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, 512273115 + ... + 512355685.

It is an arithmetic number, because the mean of its divisors is an integer number (772347296427).

Almost surely, 2^{42302312322400} is an apocalyptic number.

42302312322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42302312322400 is an abundant number, since it is smaller than the sum of its proper divisors (68915698363088).

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

42302312322400 is a wasteful number, since it uses less digits than its factorization.

42302312322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131865 (or 131852 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42302312322400 its reverse (422321320324), we get a palindrome (42724633642724).

The spelling of 42302312322400 in words is "forty-two trillion, three hundred two billion, three hundred twelve million, three hundred twenty-two thousand, four hundred".