42121113040 has 40 divisors (see below), whose sum is σ = 97940559528. Its totient is φ = 16846901760.

The previous prime is 42121113029. The next prime is 42121113049. The reversal of 42121113040 is 4031112124.

It can be written as a sum of positive squares in 4 ways, for example, as 3456969616 + 38664143424 = 58796^2 + 196632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42121112999 and 42121113017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121113049) 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, 1319670 + ... + 1351210.

Almost surely, 2^42121113040 is an apocalyptic number.

42121113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42121113040 is an abundant number, since it is smaller than the sum of its proper divisors (55819446488).

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

42121113040 is a wasteful number, since it uses less digits than its factorization.

42121113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48247 (or 48241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 42121113040 its reverse (4031112124), we get a palindrome (46152225164).

The spelling of 42121113040 in words is "forty-two billion, one hundred twenty-one million, one hundred thirteen thousand, forty".