9641142595200 has 384 divisors, whose sum is σ = 31923478641600. Its totient is φ = 2557395763200.

The previous prime is 9641142595109. The next prime is 9641142595261. The reversal of 9641142595200 is 25952411469.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9641142595200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3625851471 + ... + 3625854129.

Almost surely, 2^{9641142595200} 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 9641142595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15961739320800).

9641142595200 is an abundant number, since it is smaller than the sum of its proper divisors (22282336046400).

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

9641142595200 is a wasteful number, since it uses less digits than its factorization.

9641142595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 9641142595200 in words is "nine trillion, six hundred forty-one billion, one hundred forty-two million, five hundred ninety-five thousand, two hundred".