42477982506960 has 1280 divisors, whose sum is σ = 188731600404480. Its totient is φ = 7610029056000.

The previous prime is 42477982506959. The next prime is 42477982506983. The reversal of 42477982506960 is 6960528977424.

42477982506960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 324018225 + ... + 324149295.

It is an arithmetic number, because the mean of its divisors is an integer number (147446562816).

Almost surely, 2^{42477982506960} is an apocalyptic number.

42477982506960 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 42477982506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94365800202240).

42477982506960 is an abundant number, since it is smaller than the sum of its proper divisors (146253617897520).

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

42477982506960 is a wasteful number, since it uses less digits than its factorization.

42477982506960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131208 (or 131202 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 42477982506960 in words is "forty-two trillion, four hundred seventy-seven billion, nine hundred eighty-two million, five hundred six thousand, nine hundred sixty".