1214585648640 has 1920 divisors, whose sum is σ = 5482269112320. Its totient is φ = 241511694336.

The previous prime is 1214585648567. The next prime is 1214585648681. The reversal of 1214585648640 is 468465854121.

1214585648640 is a `hidden beast` number, since 1 + 2 + 1 + 45 + 85 + 6 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 4291821939 + ... + 4291822221.

It is an arithmetic number, because the mean of its divisors is an integer number (2855348496).

Almost surely, 2^{1214585648640} is an apocalyptic number.

1214585648640 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 1214585648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741134556160).

1214585648640 is an abundant number, since it is smaller than the sum of its proper divisors (4267683463680).

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

1214585648640 is a wasteful number, since it uses less digits than its factorization.

1214585648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

It can be divided in two parts, 1214585 and 648640, that added together give a square (1863225 = 1365²).

The spelling of 1214585648640 in words is "one trillion, two hundred fourteen billion, five hundred eighty-five million, six hundred forty-eight thousand, six hundred forty".