1340974851552 has 288 divisors, whose sum is σ = 4464231932160. Its totient is φ = 373830266880.

The previous prime is 1340974851551. The next prime is 1340974851553. The reversal of 1340974851552 is 2551584790431.

1340974851552 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 9 + 7 + 4 + 85 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (1340974851551) and next prime (1340974851553).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340974851551) 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 47 ways as a sum of consecutive naturals, for example, 87460527 + ... + 87475857.

It is an arithmetic number, because the mean of its divisors is an integer number (15500805320).

Almost surely, 2^{1340974851552} is an apocalyptic number.

1340974851552 is a gapful number since it is divisible by the number (12) 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 1340974851552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232115966080).

1340974851552 is an abundant number, since it is smaller than the sum of its proper divisors (3123257080608).

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

1340974851552 is a wasteful number, since it uses less digits than its factorization.

1340974851552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16406 (or 16395 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 1340974851552 in words is "one trillion, three hundred forty billion, nine hundred seventy-four million, eight hundred fifty-one thousand, five hundred fifty-two".