42490533968064 has 1344 divisors, whose sum is σ = 169810991400960. Its totient is φ = 9827948298240.

The previous prime is 42490533968063. The next prime is 42490533968093. The reversal of 42490533968064 is 46086933509424.

42490533968064 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 0 + 533 + 96 + 8 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×42490533968064² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 42490533967992 and 42490533968010.

It is not an unprimeable number, because it can be changed into a prime (42490533968063) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1032731877 + ... + 1032773019.

It is an arithmetic number, because the mean of its divisors is an integer number (126347463840).

Almost surely, 2^{42490533968064} 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 42490533968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84905495700480).

42490533968064 is an abundant number, since it is smaller than the sum of its proper divisors (127320457432896).

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

42490533968064 is a wasteful number, since it uses less digits than its factorization.

42490533968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41278 (or 41265 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 42490533968064 in words is "forty-two trillion, four hundred ninety billion, five hundred thirty-three million, nine hundred sixty-eight thousand, sixty-four".