42407505810 has 192 divisors, whose sum is σ = 120025825920. Its totient is φ = 10352655360.

The previous prime is 42407505787. The next prime is 42407505821. The reversal of 42407505810 is 1850570424.

42407505810 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 75 + 0 + 581 + 0 = 666.

It is a super-2 number, since 2×42407505810² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7498944 + ... + 7504596.

It is an arithmetic number, because the mean of its divisors is an integer number (625134510).

Almost surely, 2^42407505810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407505810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60012912960).

42407505810 is an abundant number, since it is smaller than the sum of its proper divisors (77618320110).

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

42407505810 is a wasteful number, since it uses less digits than its factorization.

42407505810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 42407505810 in words is "forty-two billion, four hundred seven million, five hundred five thousand, eight hundred ten".