42121411440 has 40 divisors (see below), whose sum is σ = 130576376208. Its totient is φ = 11232376320.

The previous prime is 42121411433. The next prime is 42121411441. The reversal of 42121411440 is 4411412124.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42121411440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121411441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87752701 + ... + 87753180.

Almost surely, 2^42121411440 is an apocalyptic number.

42121411440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42121411440 is an abundant number, since it is smaller than the sum of its proper divisors (88454964768).

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

42121411440 is a wasteful number, since it uses less digits than its factorization.

42121411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175505897 (or 175505891 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 42121411440 its reverse (4411412124), we get a palindrome (46532823564).

The spelling of 42121411440 in words is "forty-two billion, one hundred twenty-one million, four hundred eleven thousand, four hundred forty".