42111000040410 has 384 divisors, whose sum is σ = 129285783244800. Its totient is φ = 9504699732864.

The previous prime is 42111000040393. The next prime is 42111000040411. The reversal of 42111000040410 is 1404000011124.

42111000040410 is a `hidden beast` number, since 4 + 211 + 1 + 0 + 0 + 0 + 0 + 40 + 410 = 666.

It is a super-2 number, since 2×42111000040410² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42111000040411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9651842889 + ... + 9651847251.

It is an arithmetic number, because the mean of its divisors is an integer number (336681727200).

Almost surely, 2^{42111000040410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111000040410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64642891622400).

42111000040410 is an abundant number, since it is smaller than the sum of its proper divisors (87174783204390).

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

42111000040410 is a wasteful number, since it uses less digits than its factorization.

42111000040410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42111000040410 its reverse (1404000011124), we get a palindrome (43515000051534).

The spelling of 42111000040410 in words is "forty-two trillion, one hundred eleven billion, forty thousand, four hundred ten".