42386262240 has 144 divisors (see below), whose sum is σ = 155315461392. Its totient is φ = 9688283136.

The previous prime is 42386262229. The next prime is 42386262277. The reversal of 42386262240 is 4226268324.

It is a happy number.

It is a super-3 number, since 3×42386262240³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 877549 + ... + 924588.

It is an arithmetic number, because the mean of its divisors is an integer number (1078579593).

Almost surely, 2^42386262240 is an apocalyptic number.

42386262240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42386262240 is an abundant number, since it is smaller than the sum of its proper divisors (112929199152).

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

42386262240 is a wasteful number, since it uses less digits than its factorization.

42386262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802169 (or 1802154 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 42386262240 in words is "forty-two billion, three hundred eighty-six million, two hundred sixty-two thousand, two hundred forty".