42541604352 has 400 divisors, whose sum is σ = 143974482960. Its totient is φ = 12397805568.

The previous prime is 42541604351. The next prime is 42541604353. The reversal of 42541604352 is 25340614524.

42541604352 is a `hidden beast` number, since 4 + 2 + 5 + 41 + 604 + 3 + 5 + 2 = 666.

42541604352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42541604351) and next prime (42541604353).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42541604351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10241508 + ... + 10245660.

Almost surely, 2^42541604352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42541604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71987241480).

42541604352 is an abundant number, since it is smaller than the sum of its proper divisors (101432878608).

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

42541604352 is a wasteful number, since it uses less digits than its factorization.

42541604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42541604352 in words is "forty-two billion, five hundred forty-one million, six hundred four thousand, three hundred fifty-two".