42466748058000 has 480 divisors, whose sum is σ = 169556710033152. Its totient is φ = 9704072448000.

The previous prime is 42466748057999. The next prime is 42466748058019. The reversal of 42466748058000 is 85084766424.

It is a happy number.

42466748058000 is a `hidden beast` number, since 4 + 24 + 6 + 67 + 480 + 5 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×42466748058000³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488962579 + ... + 489049421.

Almost surely, 2^{42466748058000} is an apocalyptic number.

42466748058000 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 42466748058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84778355016576).

42466748058000 is an abundant number, since it is smaller than the sum of its proper divisors (127089961975152).

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

42466748058000 is a wasteful number, since it uses less digits than its factorization.

42466748058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90760 (or 90741 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 42466748058000 in words is "forty-two trillion, four hundred sixty-six billion, seven hundred forty-eight million, fifty-eight thousand".