411661989000 has 768 divisors, whose sum is σ = 1506184243200. Its totient is φ = 101170944000.

The previous prime is 411661988891. The next prime is 411661989059. The reversal of 411661989000 is 989166114.

411661989000 is a `hidden beast` number, since 411 + 6 + 61 + 98 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×411661989000² (a number of 24 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, 671552694 + ... + 671553306.

It is an arithmetic number, because the mean of its divisors is an integer number (1961177400).

Almost surely, 2^411661989000 is an apocalyptic number.

411661989000 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 411661989000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753092121600).

411661989000 is an abundant number, since it is smaller than the sum of its proper divisors (1094522254200).

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

411661989000 is a wasteful number, since it uses less digits than its factorization.

411661989000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 411661989000 in words is "four hundred eleven billion, six hundred sixty-one million, nine hundred eighty-nine thousand".