42341624640 has 448 divisors, whose sum is σ = 179700326400. Its totient is φ = 9168463872.

The previous prime is 42341624593. The next prime is 42341624653. The reversal of 42341624640 is 4642614324.

42341624640 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 1 + 6 + 2 + 4 + 640 = 666.

42341624640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 42341624595 and 42341624604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130697 + ... + 1167543.

It is an arithmetic number, because the mean of its divisors is an integer number (401116800).

Almost surely, 2^42341624640 is an apocalyptic number.

42341624640 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 42341624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89850163200).

42341624640 is an abundant number, since it is smaller than the sum of its proper divisors (137358701760).

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

42341624640 is a wasteful number, since it uses less digits than its factorization.

42341624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36899 (or 36883 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42341624640 in words is "forty-two billion, three hundred forty-one million, six hundred twenty-four thousand, six hundred forty".