1195281930240 has 432 divisors, whose sum is σ = 4301987639040. Its totient is φ = 318723932160.

The previous prime is 1195281930229. The next prime is 1195281930247. The reversal of 1195281930240 is 420391825911.

1195281930240 is a `hidden beast` number, since 1 + 19 + 528 + 1 + 93 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1195281930247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67175745 + ... + 67193535.

It is an arithmetic number, because the mean of its divisors is an integer number (9958304720).

Almost surely, 2^{1195281930240} is an apocalyptic number.

1195281930240 is a gapful number since it is divisible by the number (10) 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 1195281930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150993819520).

1195281930240 is an abundant number, since it is smaller than the sum of its proper divisors (3106705708800).

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

1195281930240 is an frugal number, since it uses more digits than its factorization.

1195281930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842 (or 17801 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1195281930240 in words is "one trillion, one hundred ninety-five billion, two hundred eighty-one million, nine hundred thirty thousand, two hundred forty".