1173882378240 has 1152 divisors, whose sum is σ = 4958265312000. Its totient is φ = 262607339520.

The previous prime is 1173882378169. The next prime is 1173882378247. The reversal of 1173882378240 is 428732883711.

1173882378240 is a `hidden beast` number, since 1 + 1 + 7 + 388 + 237 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1173882378247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355828111 + ... + 355831409.

It is an arithmetic number, because the mean of its divisors is an integer number (4304049750).

Almost surely, 2^{1173882378240} is an apocalyptic number.

1173882378240 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 1173882378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479132656000).

1173882378240 is an abundant number, since it is smaller than the sum of its proper divisors (3784382933760).

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

1173882378240 is a wasteful number, since it uses less digits than its factorization.

1173882378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1173882378240 in words is "one trillion, one hundred seventy-three billion, eight hundred eighty-two million, three hundred seventy-eight thousand, two hundred forty".