42261816552480 has 288 divisors, whose sum is σ = 165510721958400. Its totient is φ = 9619425478656.

The previous prime is 42261816552463. The next prime is 42261816552497. The reversal of 42261816552480 is 8425561816224.

42261816552480 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 1 + 8 + 1 + 6 + 552 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42261816552463) and next prime (42261816552497).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42261816552480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6362095 + ... + 11180334.

It is an arithmetic number, because the mean of its divisors is an integer number (574690006800).

Almost surely, 2^{42261816552480} is an apocalyptic number.

42261816552480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42261816552480 is an abundant number, since it is smaller than the sum of its proper divisors (123248905405920).

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

42261816552480 is a wasteful number, since it uses less digits than its factorization.

42261816552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17542696 (or 17542685 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 42261816552480 in words is "forty-two trillion, two hundred sixty-one billion, eight hundred sixteen million, five hundred fifty-two thousand, four hundred eighty".