1340436262401 has 24 divisors (see below), whose sum is σ = 1954434441960. Its totient is φ = 885205760256.

The previous prime is 1340436262391. The next prime is 1340436262409. The reversal of 1340436262401 is 1042626340431.

1340436262401 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 3 + 626 + 24 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170631781776 + 1169804480625 = 413076^2 + 1081575^2 .

It is not a de Polignac number, because 1340436262401 - 2¹⁷ = 1340436131329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1340436262409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3827875 + ... + 4163351.

It is an arithmetic number, because the mean of its divisors is an integer number (81434768415).

Almost surely, 2^{1340436262401} is an apocalyptic number.

It is an amenable number.

1340436262401 is a deficient number, since it is larger than the sum of its proper divisors (613998179559).

1340436262401 is a wasteful number, since it uses less digits than its factorization.

1340436262401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339665 (or 339662 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1340436262401 in words is "one trillion, three hundred forty billion, four hundred thirty-six million, two hundred sixty-two thousand, four hundred one".