9970413344640 has 1280 divisors, whose sum is σ = 41470216704000. Its totient is φ = 2263730982912.

The previous prime is 9970413344623. The next prime is 9970413344663. The reversal of 9970413344640 is 464433140799.

9970413344640 is a `hidden beast` number, since 9 + 97 + 0 + 41 + 33 + 446 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 6928709041 + ... + 6928710479.

It is an arithmetic number, because the mean of its divisors is an integer number (32398606800).

Almost surely, 2^{9970413344640} is an apocalyptic number.

9970413344640 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 9970413344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735108352000).

9970413344640 is an abundant number, since it is smaller than the sum of its proper divisors (31499803359360).

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

9970413344640 is a wasteful number, since it uses less digits than its factorization.

9970413344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 9970413344640 in words is "nine trillion, nine hundred seventy billion, four hundred thirteen million, three hundred forty-four thousand, six hundred forty".