42214011041224 has 64 divisors (see below), whose sum is σ = 91490140042560. Its totient is φ = 18046813501440.

The previous prime is 42214011041201. The next prime is 42214011041233.

42214011041224 is nontrivially palindromic in base 10.

42214011041224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42214011041192 and 42214011041201.

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, 7752357 + ... + 12021940.

It is an arithmetic number, because the mean of its divisors is an integer number (1429533438165).

Almost surely, 2^{42214011041224} is an apocalyptic number.

42214011041224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42214011041224 is an abundant number, since it is smaller than the sum of its proper divisors (49276129001336).

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

42214011041224 is a wasteful number, since it uses less digits than its factorization.

42214011041224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19775758 (or 19775754 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 4221401 and 1041224, that added together give a palindrome (5262625).

The spelling of 42214011041224 in words is "forty-two trillion, two hundred fourteen billion, eleven million, forty-one thousand, two hundred twenty-four".