42081184696320 has 4320 divisors, whose sum is σ = 198335153016000. Its totient is φ = 8497871585280.

The previous prime is 42081184696303. The next prime is 42081184696417. The reversal of 42081184696320 is 2369648118024.

42081184696320 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 118 + 469 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×42081184696320² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 211463239581 + ... + 211463239779.

It is an arithmetic number, because the mean of its divisors is an integer number (45910915050).

Almost surely, 2^{42081184696320} is an apocalyptic number.

42081184696320 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 42081184696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99167576508000).

42081184696320 is an abundant number, since it is smaller than the sum of its proper divisors (156253968319680).

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

42081184696320 is a wasteful number, since it uses less digits than its factorization.

42081184696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 42081184696320 in words is "forty-two trillion, eighty-one billion, one hundred eighty-four million, six hundred ninety-six thousand, three hundred twenty".