42605137440 has 144 divisors (see below), whose sum is σ = 151711455168. Its totient is φ = 10867388928.

The previous prime is 42605137439. The next prime is 42605137441. The reversal of 42605137440 is 4473150624.

42605137440 is a `hidden beast` number, since 4 + 2 + 605 + 1 + 3 + 7 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42605137439) and next prime (42605137441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42605137395 and 42605137404.

It is not an unprimeable number, because it can be changed into a prime (42605137441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 610074 + ... + 676313.

It is an arithmetic number, because the mean of its divisors is an integer number (1053551772).

Almost surely, 2^42605137440 is an apocalyptic number.

42605137440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42605137440 is an abundant number, since it is smaller than the sum of its proper divisors (109106317728).

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

42605137440 is a wasteful number, since it uses less digits than its factorization.

42605137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286431 (or 1286420 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42605137440 in words is "forty-two billion, six hundred five million, one hundred thirty-seven thousand, four hundred forty".