42331300004004 has 96 divisors (see below), whose sum is σ = 110080314150912. Its totient is φ = 12550709184000.

The previous prime is 42331300003987. The next prime is 42331300004107. The reversal of 42331300004004 is 40040000313324.

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 31 ways as a sum of consecutive naturals, for example, 18269569 + ... + 20455799.

It is an arithmetic number, because the mean of its divisors is an integer number (1146669939072).

Almost surely, 2^{42331300004004} is an apocalyptic number.

42331300004004 is a gapful number since it is divisible by the number (44) 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 42331300004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55040157075456).

42331300004004 is an abundant number, since it is smaller than the sum of its proper divisors (67749014146908).

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

42331300004004 is a wasteful number, since it uses less digits than its factorization.

42331300004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189417 (or 2189415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42331300004004 its reverse (40040000313324), we get a palindrome (82371300317328).

The spelling of 42331300004004 in words is "forty-two trillion, three hundred thirty-one billion, three hundred million, four thousand, four".