9701043924000 has 1536 divisors, whose sum is σ = 38910048952320. Its totient is φ = 2080512000000.

The previous prime is 9701043923957. The next prime is 9701043924007. The reversal of 9701043924000 is 4293401079.

It is a super-2 number, since 2×9701043924000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9701043924000.

It is not an unprimeable number, because it can be changed into a prime (9701043924007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7514363355 + ... + 7514364645.

It is an arithmetic number, because the mean of its divisors is an integer number (25332063120).

Almost surely, 2^{9701043924000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9701043924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455024476160).

9701043924000 is an abundant number, since it is smaller than the sum of its proper divisors (29209005028320).

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

9701043924000 is a wasteful number, since it uses less digits than its factorization.

9701043924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 9701043924000 in words is "nine trillion, seven hundred one billion, forty-three million, nine hundred twenty-four thousand".