42405517476 has 81 divisors (see below), whose sum is σ = 124717851531. Its totient is φ = 12113391024.

The previous prime is 42405517411. The next prime is 42405517477. The reversal of 42405517476 is 67471550424.

The square root of 42405517476 is 205926.

It is a perfect power (a square), and thus also a powerful number.

42405517476 is a `hidden beast` number, since 4 + 2 + 405 + 5 + 174 + 76 = 666.

42405517476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42405517477) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8646441 + ... + 8651343.

Almost surely, 2^42405517476 is an apocalyptic number.

42405517476 is the 205926-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42405517476

42405517476 is an abundant number, since it is smaller than the sum of its proper divisors (82312334055).

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

42405517476 is an equidigital number, since it uses as much as digits as its factorization.

42405517476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9830 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 42405517476 in words is "forty-two billion, four hundred five million, five hundred seventeen thousand, four hundred seventy-six".