9211676221440 has 672 divisors, whose sum is σ = 39811275069696. Its totient is φ = 1914108641280.

The previous prime is 9211676221439. The next prime is 9211676221459. The reversal of 9211676221440 is 441226761129.

9211676221440 is a `hidden beast` number, since 9 + 2 + 1 + 1 + 6 + 7 + 622 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28223019 + ... + 28547541.

Almost surely, 2^{9211676221440} is an apocalyptic number.

9211676221440 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 9211676221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905637534848).

9211676221440 is an abundant number, since it is smaller than the sum of its proper divisors (30599598848256).

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

9211676221440 is a wasteful number, since it uses less digits than its factorization.

9211676221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324578 (or 324551 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 9211676221440 in words is "nine trillion, two hundred eleven billion, six hundred seventy-six million, two hundred twenty-one thousand, four hundred forty".