42353654640 has 160 divisors (see below), whose sum is σ = 144842515200. Its totient is φ = 10152130560.

The previous prime is 42353654617. The next prime is 42353654641. The reversal of 42353654640 is 4645635324.

It is a happy number.

It is a super-2 number, since 2×42353654640² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42353654592 and 42353654601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42353654641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144831 + ... + 325089.

It is an arithmetic number, because the mean of its divisors is an integer number (905265720).

Almost surely, 2^42353654640 is an apocalyptic number.

42353654640 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 42353654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72421257600).

42353654640 is an abundant number, since it is smaller than the sum of its proper divisors (102488860560).

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

42353654640 is a wasteful number, since it uses less digits than its factorization.

42353654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180375 (or 180369 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 42353654640 in words is "forty-two billion, three hundred fifty-three million, six hundred fifty-four thousand, six hundred forty".