42111213440 has 128 divisors (see below), whose sum is σ = 104684901120. Its totient is φ = 16181084160.

The previous prime is 42111213439. The next prime is 42111213481. The reversal of 42111213440 is 4431211124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2710334 + ... + 2725826.

It is an arithmetic number, because the mean of its divisors is an integer number (817850790).

Almost surely, 2^42111213440 is an apocalyptic number.

42111213440 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 42111213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52342450560).

42111213440 is an abundant number, since it is smaller than the sum of its proper divisors (62573687680).

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

42111213440 is a wasteful number, since it uses less digits than its factorization.

42111213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15680 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 42111213440 its reverse (4431211124), we get a palindrome (46542424564).

The spelling of 42111213440 in words is "forty-two billion, one hundred eleven million, two hundred thirteen thousand, four hundred forty".