9813955271040 has 384 divisors, whose sum is σ = 34637017240800. Its totient is φ = 2559755059200.

The previous prime is 9813955270997. The next prime is 9813955271041. The reversal of 9813955271040 is 401725593189.

It is a happy number.

9813955271040 is a `hidden beast` number, since 9 + 8 + 1 + 3 + 9 + 5 + 527 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9813955271041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62815420 + ... + 62971460.

Almost surely, 2^{9813955271040} is an apocalyptic number.

9813955271040 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 9813955271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318508620400).

9813955271040 is an abundant number, since it is smaller than the sum of its proper divisors (24823061969760).

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

9813955271040 is a wasteful number, since it uses less digits than its factorization.

9813955271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156306 (or 156291 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 9813955271040 in words is "nine trillion, eight hundred thirteen billion, nine hundred fifty-five million, two hundred seventy-one thousand, forty".