1340406108288 has 96 divisors (see below), whose sum is σ = 4153862725740. Its totient is φ = 412432644096.

The previous prime is 1340406108259. The next prime is 1340406108421. The reversal of 1340406108288 is 8828016040431.

1340406108288 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 0 + 610 + 8 + 28 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1338574953024 + 1831155264 = 1156968^2 + 42792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44736831 + ... + 44766782.

Almost surely, 2^{1340406108288} is an apocalyptic number.

1340406108288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1340406108288 is an abundant number, since it is smaller than the sum of its proper divisors (2813456617452).

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

1340406108288 is a wasteful number, since it uses less digits than its factorization.

1340406108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89503646 (or 89503631 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1340406108288 in words is "one trillion, three hundred forty billion, four hundred six million, one hundred eight thousand, two hundred eighty-eight".