42032002410 has 160 divisors (see below), whose sum is σ = 121015691280. Its totient is φ = 10430373888.

The previous prime is 42032002391. The next prime is 42032002421. The reversal of 42032002410 is 1420023024.

42032002410 is a `hidden beast` number, since 420 + 3 + 2 + 0 + 0 + 241 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28808612361 + 13223390049 = 169731^2 + 114993^2 .

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1208382 + ... + 1242678.

Almost surely, 2^42032002410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42032002410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60507845640).

42032002410 is an abundant number, since it is smaller than the sum of its proper divisors (78983688870).

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

42032002410 is a wasteful number, since it uses less digits than its factorization.

42032002410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34422 (or 34413 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42032002410 its reverse (1420023024), we get a palindrome (43452025434).

The spelling of 42032002410 in words is "forty-two billion, thirty-two million, two thousand, four hundred ten".