42100632240 has 80 divisors (see below), whose sum is σ = 130540121088. Its totient is φ = 11224412928.

The previous prime is 42100632169. The next prime is 42100632257. The reversal of 42100632240 is 4223600124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42100632240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281459 + ... + 1313901.

Almost surely, 2^42100632240 is an apocalyptic number.

42100632240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100632240 is an abundant number, since it is smaller than the sum of its proper divisors (88439488848).

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

42100632240 is a wasteful number, since it uses less digits than its factorization.

42100632240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37866 (or 37860 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 42100632240 in words is "forty-two billion, one hundred million, six hundred thirty-two thousand, two hundred forty".