42114110040 has 48 divisors (see below), whose sum is σ = 136870858800. Its totient is φ = 11230429248.

The previous prime is 42114110029. The next prime is 42114110089. The reversal of 42114110040 is 4001141124.

42114110040 is a `hidden beast` number, since 4 + 211 + 411 + 0 + 0 + 40 = 666.

It is a super-2 number, since 2×42114110040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42114109995 and 42114110022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58491460 + ... + 58492179.

It is an arithmetic number, because the mean of its divisors is an integer number (2851476225).

Almost surely, 2^42114110040 is an apocalyptic number.

42114110040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42114110040 is an abundant number, since it is smaller than the sum of its proper divisors (94756748760).

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

42114110040 is a wasteful number, since it uses less digits than its factorization.

42114110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116983656 (or 116983649 counting only the distinct ones).

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

Adding to 42114110040 its reverse (4001141124), we get a palindrome (46115251164).

The spelling of 42114110040 in words is "forty-two billion, one hundred fourteen million, one hundred ten thousand, forty".