42128650498560 has 640 divisors, whose sum is σ = 147294256564224. Its totient is φ = 10226006753280.

The previous prime is 42128650498547. The next prime is 42128650498631. The reversal of 42128650498560 is 6589405682124.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 42128650498494 and 42128650498503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11725200124 + ... + 11725203716.

Almost surely, 2^{42128650498560} is an apocalyptic number.

42128650498560 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 42128650498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73647128282112).

42128650498560 is an abundant number, since it is smaller than the sum of its proper divisors (105165606065664).

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

42128650498560 is a wasteful number, since it uses less digits than its factorization.

42128650498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 42128650498560 in words is "forty-two trillion, one hundred twenty-eight billion, six hundred fifty million, four hundred ninety-eight thousand, five hundred sixty".