42884468257600 has 42 divisors (see below), whose sum is σ = 105522594710294. Its totient is φ = 17153787302400.

The previous prime is 42884468257597. The next prime is 42884468257619. The reversal of 42884468257600 is 675286448824.

It can be written as a sum of positive squares in 3 ways, for example, as 26391951936 + 42858076305664 = 162456^2 + 6546608^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13401394731 + ... + 13401397930.

Almost surely, 2^{42884468257600} is an apocalyptic number.

42884468257600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42884468257600 is an abundant number, since it is smaller than the sum of its proper divisors (62638126452694).

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

42884468257600 is a wasteful number, since it uses less digits than its factorization.

42884468257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26802792683 (or 26802792668 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 64.

The spelling of 42884468257600 in words is "forty-two trillion, eight hundred eighty-four billion, four hundred sixty-eight million, two hundred fifty-seven thousand, six hundred".