9908303927040 has 1152 divisors, whose sum is σ = 36797062579200. Its totient is φ = 2554210713600.

The previous prime is 9908303926981. The next prime is 9908303927051. The reversal of 9908303927040 is 407293038099.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15035362231 + ... + 15035362889.

It is an arithmetic number, because the mean of its divisors is an integer number (31941894600).

Almost surely, 2^{9908303927040} is an apocalyptic number.

9908303927040 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 9908303927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398531289600).

9908303927040 is an abundant number, since it is smaller than the sum of its proper divisors (26888758652160).

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

9908303927040 is an equidigital number, since it uses as much as digits as its factorization.

9908303927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 9908303927040 in words is "nine trillion, nine hundred eight billion, three hundred three million, nine hundred twenty-seven thousand, forty".