1340095640625 has 343 divisors, whose sum is σ = 2930077748431. Its totient is φ = 612615150000.

The previous prime is 1340095640591. The next prime is 1340095640647. The reversal of 1340095640625 is 5260465900431.

The square root of 1340095640625 is 1157625.

The cubic root of 1340095640625 is 11025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

1340095640625 is a `hidden beast` number, since 13 + 4 + 0 + 0 + 9 + 5 + 6 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1174052430369 + 166043210256 = 1083537^2 + 407484^2 .

It is a tau number, because it is divible by the number of its divisors (343).

It is not a de Polignac number, because 1340095640625 - 2¹⁷ = 1340095509553 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 342 ways as a sum of consecutive naturals, for example, 191442234372 + ... + 191442234378.

Almost surely, 2^{1340095640625} is an apocalyptic number.

1340095640625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1340095640625 is the 1157625-th square number.

1340095640625 is the 578813-rd centered octagonal number.

It is an amenable number.

1340095640625 is an abundant number, since it is smaller than the sum of its proper divisors (1589982107806).

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

1340095640625 is an frugal number, since it uses more digits than its factorization.

1340095640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1340095640625 in words is "one trillion, three hundred forty billion, ninety-five million, six hundred forty thousand, six hundred twenty-five".