1193271488640 has 2304 divisors, whose sum is σ = 5697394416000. Its totient is φ = 234519183360.

The previous prime is 1193271488639. The next prime is 1193271488693. The reversal of 1193271488640 is 468841723911.

1193271488640 is a `hidden beast` number, since 1 + 1 + 9 + 32 + 71 + 488 + 64 + 0 = 666.

It is a super-2 number, since 2×1193271488640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1946608974 + ... + 1946609586.

Almost surely, 2^{1193271488640} is an apocalyptic number.

1193271488640 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 1193271488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848697208000).

1193271488640 is an abundant number, since it is smaller than the sum of its proper divisors (4504122927360).

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

1193271488640 is a wasteful number, since it uses less digits than its factorization.

1193271488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1193271488640 in words is "one trillion, one hundred ninety-three billion, two hundred seventy-one million, four hundred eighty-eight thousand, six hundred forty".