9973409040 has 960 divisors, whose sum is σ = 44335019520. Its totient is φ = 2043740160.

The previous prime is 9973409027. The next prime is 9973409059. The reversal of 9973409040 is 409043799.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41383320 + ... + 41383560.

It is an arithmetic number, because the mean of its divisors is an integer number (46182312).

Almost surely, 2^9973409040 is an apocalyptic number.

9973409040 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 9973409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167509760).

9973409040 is an abundant number, since it is smaller than the sum of its proper divisors (34361610480).

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

9973409040 is a wasteful number, since it uses less digits than its factorization.

9973409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9973409040 is about 99866.9566973982. The cubic root of 9973409040 is about 2152.5233786872.

The spelling of 9973409040 in words is "nine billion, nine hundred seventy-three million, four hundred nine thousand, forty".