1989411336900 has 216 divisors, whose sum is σ = 6720504250824. Its totient is φ = 489326745600.

The previous prime is 1989411336859. The next prime is 1989411336917. The reversal of 1989411336900 is 96331149891.

1989411336900 is a `hidden beast` number, since 198 + 9 + 411 + 3 + 36 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 386229932676 + 1603181404224 = 621474^2 + 1266168^2 .

It is a super-2 number, since 2×1989411336900² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15391342 + ... + 15520058.

Almost surely, 2^{1989411336900} is an apocalyptic number.

1989411336900 is a gapful number since it is divisible by the number (10) 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 1989411336900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360252125412).

1989411336900 is an abundant number, since it is smaller than the sum of its proper divisors (4731092913924).

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

1989411336900 is a wasteful number, since it uses less digits than its factorization.

1989411336900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130071 (or 130061 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1989411336900 in words is "one trillion, nine hundred eighty-nine billion, four hundred eleven million, three hundred thirty-six thousand, nine hundred".