42181896960 has 1620 divisors, whose sum is σ = 193360871088. Its totient is φ = 8736989184.

The previous prime is 42181896929. The next prime is 42181896989. The reversal of 42181896960 is 6969818124.

42181896960 is a `hidden beast` number, since 421 + 81 + 89 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×42181896960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42181896897 and 42181896906.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1833995509 + ... + 1833995531.

Almost surely, 2^42181896960 is an apocalyptic number.

42181896960 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 42181896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96680435544).

42181896960 is an abundant number, since it is smaller than the sum of its proper divisors (151178974128).

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

42181896960 is a wasteful number, since it uses less digits than its factorization.

42181896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 42181896960 in words is "forty-two billion, one hundred eighty-one million, eight hundred ninety-six thousand, nine hundred sixty".