42582539704320 has 3840 divisors, whose sum is σ = 199943410867200. Its totient is φ = 8409804963840.

The previous prime is 42582539704283. The next prime is 42582539704339. The reversal of 42582539704320 is 2340793528524.

42582539704320 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 2 + 539 + 70 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 153727580022 + ... + 153727580298.

It is an arithmetic number, because the mean of its divisors is an integer number (52068596580).

Almost surely, 2^{42582539704320} is an apocalyptic number.

42582539704320 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 42582539704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99971705433600).

42582539704320 is an abundant number, since it is smaller than the sum of its proper divisors (157360871162880).

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

42582539704320 is a wasteful number, since it uses less digits than its factorization.

42582539704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 42582539704320 in words is "forty-two trillion, five hundred eighty-two billion, five hundred thirty-nine million, seven hundred four thousand, three hundred twenty".