42609853440 has 704 divisors, whose sum is σ = 188840171520. Its totient is φ = 8851783680.

The previous prime is 42609853427. The next prime is 42609853501. The reversal of 42609853440 is 4435890624.

42609853440 is a `hidden beast` number, since 4 + 2 + 609 + 8 + 5 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×42609853440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 10642479 + ... + 10646481.

It is an arithmetic number, because the mean of its divisors is an integer number (268238880).

Almost surely, 2^42609853440 is an apocalyptic number.

42609853440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42609853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94420085760).

42609853440 is an abundant number, since it is smaller than the sum of its proper divisors (146230318080).

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

42609853440 is a wasteful number, since it uses less digits than its factorization.

42609853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42609853440 in words is "forty-two billion, six hundred nine million, eight hundred fifty-three thousand, four hundred forty".