42100040 has 32 divisors (see below), whose sum is σ = 96336000. Its totient is φ = 16553664.

The previous prime is 42100039. The next prime is 42100061. The reversal of 42100040 is 4000124.

42100040 = T₁₁₆₅ + T₁₁₆₆ + ... + T₁₂₂₃.

It is a junction number, because it is equal to n+sod(n) for n = 42099994 and 42100030.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6560 + ... + 11279.

It is an arithmetic number, because the mean of its divisors is an integer number (3010500).

Almost surely, 2^42100040 is an apocalyptic number.

42100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100040 is an abundant number, since it is smaller than the sum of its proper divisors (54235960).

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

42100040 is a wasteful number, since it uses less digits than its factorization.

42100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17909 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42100040 is about 6488.4543614023. The cubic root of 42100040 is about 347.8784311350.

Adding to 42100040 its reverse (4000124), we get a palindrome (46100164).

The spelling of 42100040 in words is "forty-two million, one hundred thousand, forty".