1340804651040 has 480 divisors, whose sum is σ = 4831557413760. Its totient is φ = 350068801536.

The previous prime is 1340804651033. The next prime is 1340804651063. The reversal of 1340804651040 is 401564080431.

1340804651040 is a `hidden beast` number, since 13 + 4 + 0 + 80 + 465 + 104 + 0 = 666.

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

It is a super-2 number, since 2×1340804651040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1340804650986 and 1340804651004.

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, 196509069 + ... + 196515891.

It is an arithmetic number, because the mean of its divisors is an integer number (10065744612).

Almost surely, 2^{1340804651040} is an apocalyptic number.

1340804651040 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 1340804651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415778706880).

1340804651040 is an abundant number, since it is smaller than the sum of its proper divisors (3490752762720).

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

1340804651040 is a wasteful number, since it uses less digits than its factorization.

1340804651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1340804651040 in words is "one trillion, three hundred forty billion, eight hundred four million, six hundred fifty-one thousand, forty".