1931982434900 has 144 divisors (see below), whose sum is σ = 5000593108224. Its totient is φ = 633472773120.

The previous prime is 1931982434887. The next prime is 1931982434903. The reversal of 1931982434900 is 94342891391.

It is a super-2 number, since 2×1931982434900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1931982434903) 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 47 ways as a sum of consecutive naturals, for example, 128679794 + ... + 128694806.

Almost surely, 2^{1931982434900} is an apocalyptic number.

1931982434900 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 1931982434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500296554112).

1931982434900 is an abundant number, since it is smaller than the sum of its proper divisors (3068610673324).

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

1931982434900 is a wasteful number, since it uses less digits than its factorization.

1931982434900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23050 (or 23043 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 1931982434900 in words is "one trillion, nine hundred thirty-one billion, nine hundred eighty-two million, four hundred thirty-four thousand, nine hundred".