42104834640 has 480 divisors, whose sum is σ = 161727148800. Its totient is φ = 10059033600.

The previous prime is 42104834627. The next prime is 42104834671. The reversal of 42104834640 is 4643840124.

42104834640 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 4 + 8 + 3 + 4 + 640 = 666.

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 = 42104834595 and 42104834604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18555426 + ... + 18557694.

It is an arithmetic number, because the mean of its divisors is an integer number (336931560).

Almost surely, 2^42104834640 is an apocalyptic number.

42104834640 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 42104834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80863574400).

42104834640 is an abundant number, since it is smaller than the sum of its proper divisors (119622314160).

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

42104834640 is a wasteful number, since it uses less digits than its factorization.

42104834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42104834640 in words is "forty-two billion, one hundred four million, eight hundred thirty-four thousand, six hundred forty".