1213166586240 has 1728 divisors, whose sum is σ = 5332385682000. Its totient is φ = 252699181056.

The previous prime is 1213166586227. The next prime is 1213166586251. The reversal of 1213166586240 is 426856613121.

1213166586240 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 66 + 586 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 4509912826 + ... + 4509913094.

Almost surely, 2^{1213166586240} is an apocalyptic number.

1213166586240 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 1213166586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666192841000).

1213166586240 is an abundant number, since it is smaller than the sum of its proper divisors (4119219095760).

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

1213166586240 is a wasteful number, since it uses less digits than its factorization.

1213166586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1213166586240 in words is "one trillion, two hundred thirteen billion, one hundred sixty-six million, five hundred eighty-six thousand, two hundred forty".