42105967240 has 16 divisors (see below), whose sum is σ = 94738426380. Its totient is φ = 16842386880.

The previous prime is 42105967213. The next prime is 42105967243. The reversal of 42105967240 is 4276950124.

It can be written as a sum of positive squares in 2 ways, for example, as 35118010404 + 6987956836 = 187398^2 + 83594^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1052649181 = 42105967240 / (4 + 2 + 1 + 0 + 5 + 9 + 6 + 7 + 2 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 42105967193 and 42105967202.

It is not an unprimeable number, because it can be changed into a prime (42105967243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526324551 + ... + 526324630.

Almost surely, 2^42105967240 is an apocalyptic number.

42105967240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42105967240 is an abundant number, since it is smaller than the sum of its proper divisors (52632459140).

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

42105967240 is a wasteful number, since it uses less digits than its factorization.

42105967240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052649192 (or 1052649188 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 42105967240 in words is "forty-two billion, one hundred five million, nine hundred sixty-seven thousand, two hundred forty".