1152418419360 has 768 divisors, whose sum is σ = 4421737797120. Its totient is φ = 278625484800.

The previous prime is 1152418419359. The next prime is 1152418419367. The reversal of 1152418419360 is 639148142511.

1152418419360 is a `hidden beast` number, since 1 + 1 + 5 + 241 + 8 + 41 + 9 + 360 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1152418419367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777085179 + ... + 777086661.

It is an arithmetic number, because the mean of its divisors is an integer number (5757471090).

Almost surely, 2^{1152418419360} is an apocalyptic number.

1152418419360 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 1152418419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210868898560).

1152418419360 is an abundant number, since it is smaller than the sum of its proper divisors (3269319377760).

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

1152418419360 is a wasteful number, since it uses less digits than its factorization.

1152418419360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1152418419360 in words is "one trillion, one hundred fifty-two billion, four hundred eighteen million, four hundred nineteen thousand, three hundred sixty".