42982610964480 has 1040 divisors, whose sum is σ = 169381789651008. Its totient is φ = 10339909632000.

The previous prime is 42982610964439. The next prime is 42982610964497. The reversal of 42982610964480 is 8446901628924.

42982610964480 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 2 + 61 + 0 + 96 + 4 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2390437090 + ... + 2390455070.

Almost surely, 2^{42982610964480} is an apocalyptic number.

42982610964480 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 42982610964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84690894825504).

42982610964480 is an abundant number, since it is smaller than the sum of its proper divisors (126399178686528).

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

42982610964480 is a wasteful number, since it uses less digits than its factorization.

42982610964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18164 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 42982610964480 in words is "forty-two trillion, nine hundred eighty-two billion, six hundred ten million, nine hundred sixty-four thousand, four hundred eighty".