42203234304000 has 4320 divisors, whose sum is σ = 203074590438720. Its totient is φ = 8620867584000.

The previous prime is 42203234303947. The next prime is 42203234304017. The reversal of 42203234304000 is 40343230224.

42203234304000 is a `hidden beast` number, since 4 + 2 + 20 + 3 + 234 + 3 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×42203234304000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 715309055971 + ... + 715309056029.

It is an arithmetic number, because the mean of its divisors is an integer number (47008007046).

Almost surely, 2^{42203234304000} is an apocalyptic number.

42203234304000 is a gapful number since it is divisible by the number (40) 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 42203234304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101537295219360).

42203234304000 is an abundant number, since it is smaller than the sum of its proper divisors (160871356134720).

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

42203234304000 is an frugal number, since it uses more digits than its factorization.

42203234304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42203234304000 its reverse (40343230224), we get a palindrome (42243577534224).

The spelling of 42203234304000 in words is "forty-two trillion, two hundred three billion, two hundred thirty-four million, three hundred four thousand".