9927289405440 has 1632 divisors, whose sum is σ = 40703094521856. Its totient is φ = 2211069296640.

The previous prime is 9927289405427. The next prime is 9927289405447. The reversal of 9927289405440 is 445049827299.

9927289405440 is a `hidden beast` number, since 9 + 9 + 2 + 7 + 2 + 89 + 4 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×9927289405440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9927289405447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25919815489 + ... + 25919815871.

Almost surely, 2^{9927289405440} is an apocalyptic number.

9927289405440 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 9927289405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20351547260928).

9927289405440 is an abundant number, since it is smaller than the sum of its proper divisors (30775805116416).

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

9927289405440 is a wasteful number, since it uses less digits than its factorization.

9927289405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 9927289405440 in words is "nine trillion, nine hundred twenty-seven billion, two hundred eighty-nine million, four hundred five thousand, four hundred forty".