42489435795264 has 392 divisors, whose sum is σ = 134195850739080. Its totient is φ = 13295655124992.

The previous prime is 42489435795259. The next prime is 42489435795277. The reversal of 42489435795264 is 46259753498424.

42489435795264 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 9 + 4 + 357 + 9 + 5 + 264 = 666.

42489435795264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1716204801600 + 40773230993664 = 1310040^2 + 6385392^2 .

It is a super-3 number, since 3×42489435795264³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42489435795192 and 42489435795201.

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 55 ways as a sum of consecutive naturals, for example, 308467272 + ... + 308604984.

Almost surely, 2^{42489435795264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42489435795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67097925369540).

42489435795264 is an abundant number, since it is smaller than the sum of its proper divisors (91706414943816).

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

42489435795264 is a wasteful number, since it uses less digits than its factorization.

42489435795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138149 (or 138124 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 42489435795264 in words is "forty-two trillion, four hundred eighty-nine billion, four hundred thirty-five million, seven hundred ninety-five thousand, two hundred sixty-four".