1213317908640 has 480 divisors, whose sum is σ = 4355955394560. Its totient is φ = 318011774976.

The previous prime is 1213317908623. The next prime is 1213317908653. The reversal of 1213317908640 is 468097133121.

1213317908640 is a `hidden beast` number, since 1 + 213 + 317 + 9 + 0 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 179401899 + ... + 179408661.

It is an arithmetic number, because the mean of its divisors is an integer number (9074907072).

Almost surely, 2^{1213317908640} is an apocalyptic number.

1213317908640 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 1213317908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177977697280).

1213317908640 is an abundant number, since it is smaller than the sum of its proper divisors (3142637485920).

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

1213317908640 is a wasteful number, since it uses less digits than its factorization.

1213317908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1213317908640 in words is "one trillion, two hundred thirteen billion, three hundred seventeen million, nine hundred eight thousand, six hundred forty".