42105562560 has 336 divisors, whose sum is σ = 158099760000. Its totient is φ = 10636821504.

The previous prime is 42105562553. The next prime is 42105562589. The reversal of 42105562560 is 6526550124.

42105562560 is a `hidden beast` number, since 4 + 21 + 0 + 5 + 5 + 625 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463191 + ... + 1491689.

It is an arithmetic number, because the mean of its divisors is an integer number (470535000).

Almost surely, 2^42105562560 is an apocalyptic number.

42105562560 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 42105562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79049880000).

42105562560 is an abundant number, since it is smaller than the sum of its proper divisors (115994197440).

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

42105562560 is a wasteful number, since it uses less digits than its factorization.

42105562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28550 (or 28528 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 42105562560 in words is "forty-two billion, one hundred five million, five hundred sixty-two thousand, five hundred sixty".