9639234109440 has 1232 divisors, whose sum is σ = 37738560009528. Its totient is φ = 2348273369088.

The previous prime is 9639234109387. The next prime is 9639234109457. The reversal of 9639234109440 is 449014329369.

9639234109440 is a `hidden beast` number, since 9 + 6 + 3 + 92 + 3 + 4 + 109 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5785833701376 + 3853400408064 = 2405376^2 + 1963008^2 .

It is a super-2 number, since 2×9639234109440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99373547472 + ... + 99373547568.

Almost surely, 2^{9639234109440} is an apocalyptic number.

9639234109440 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 9639234109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869280004764).

9639234109440 is an abundant number, since it is smaller than the sum of its proper divisors (28099325900088).

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

9639234109440 is an frugal number, since it uses more digits than its factorization.

9639234109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 9639234109440 in words is "nine trillion, six hundred thirty-nine billion, two hundred thirty-four million, one hundred nine thousand, four hundred forty".