42477345462528 has 432 divisors, whose sum is σ = 128831865489600. Its totient is φ = 13441168097280.

The previous prime is 42477345462523. The next prime is 42477345462577. The reversal of 42477345462528 is 82526454377424.

42477345462528 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 7 + 3 + 45 + 4 + 62 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (42477345462523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421870783 + ... + 2421888321.

Almost surely, 2^{42477345462528} is an apocalyptic number.

42477345462528 is a gapful number since it is divisible by the number (48) 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 42477345462528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64415932744800).

42477345462528 is an abundant number, since it is smaller than the sum of its proper divisors (86354520027072).

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

42477345462528 is a wasteful number, since it uses less digits than its factorization.

42477345462528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18198 (or 18181 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 63.

The spelling of 42477345462528 in words is "forty-two trillion, four hundred seventy-seven billion, three hundred forty-five million, four hundred sixty-two thousand, five hundred twenty-eight".