9941952995100 has 1440 divisors, whose sum is σ = 38673693822400. Its totient is φ = 2189211494400.

The previous prime is 9941952995081. The next prime is 9941952995113. The reversal of 9941952995100 is 15992591499.

9941952995100 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 9 + 529 + 95 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 43414641786 + ... + 43414642014.

Almost surely, 2^{9941952995100} is an apocalyptic number.

9941952995100 is a gapful number since it is divisible by the number (90) 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 9941952995100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336846911200).

9941952995100 is an abundant number, since it is smaller than the sum of its proper divisors (28731740827300).

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

9941952995100 is a wasteful number, since it uses less digits than its factorization.

9941952995100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 63.

The spelling of 9941952995100 in words is "nine trillion, nine hundred forty-one billion, nine hundred fifty-two million, nine hundred ninety-five thousand, one hundred".