42587477412480 has 5120 divisors, whose sum is σ = 215232694871040. Its totient is φ = 7739670528000.

The previous prime is 42587477412463. The next prime is 42587477412527. The reversal of 42587477412480 is 8421477478524.

42587477412480 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 74 + 7 + 74 + 12 + 480 = 666.

42587477412480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 639 ways as a sum of consecutive naturals, for example, 78719921010 + ... + 78719921550.

It is an arithmetic number, because the mean of its divisors is an integer number (42037635717).

Almost surely, 2^{42587477412480} is an apocalyptic number.

42587477412480 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 42587477412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107616347435520).

42587477412480 is an abundant number, since it is smaller than the sum of its proper divisors (172645217458560).

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

42587477412480 is a wasteful number, since it uses less digits than its factorization.

42587477412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 112394240, while the sum is 63.

The spelling of 42587477412480 in words is "forty-two trillion, five hundred eighty-seven billion, four hundred seventy-seven million, four hundred twelve thousand, four hundred eighty".