410081600985120 has 1152 divisors, whose sum is σ = 1478358140313600. Its totient is φ = 103314897100800.

The previous prime is 410081600985113. The next prime is 410081600985151. The reversal of 410081600985120 is 21589006180014.

It is a happy number.

410081600985120 is a `hidden beast` number, since 4 + 10 + 0 + 8 + 1 + 600 + 9 + 8 + 5 + 1 + 20 = 666.

It is a super-2 number, since 2×410081600985120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 951465431305 + ... + 951465431735.

It is an arithmetic number, because the mean of its divisors is an integer number (1283296996800).

Almost surely, 2^{410081600985120} is an apocalyptic number.

410081600985120 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 410081600985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739179070156800).

410081600985120 is an abundant number, since it is smaller than the sum of its proper divisors (1068276539328480).

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

410081600985120 is a wasteful number, since it uses less digits than its factorization.

410081600985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 410081600985120 in words is "four hundred ten trillion, eighty-one billion, six hundred million, nine hundred eighty-five thousand, one hundred twenty".