411221899173888 has 1792 divisors, whose sum is σ = 1388097356083200. Its totient is φ = 120738860236800.

The previous prime is 411221899173887. The next prime is 411221899173919. The reversal of 411221899173888 is 888371998122114.

411221899173888 is a `hidden beast` number, since 4 + 1 + 1 + 221 + 8 + 9 + 9 + 17 + 388 + 8 = 666.

It is a super-2 number, since 2×411221899173888² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411221899173887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 949704154920 + ... + 949704155352.

It is an arithmetic number, because the mean of its divisors is an integer number (774607899600).

Almost surely, 2^{411221899173888} is an apocalyptic number.

411221899173888 is a gapful number since it is divisible by the number (48) 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 411221899173888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694048678041600).

411221899173888 is an abundant number, since it is smaller than the sum of its proper divisors (976875456909312).

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

411221899173888 is an frugal number, since it uses more digits than its factorization.

411221899173888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 589 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 72.

The spelling of 411221899173888 in words is "four hundred eleven trillion, two hundred twenty-one billion, eight hundred ninety-nine million, one hundred seventy-three thousand, eight hundred eighty-eight".