1340498524401 has 27 divisors (see below), whose sum is σ = 1984864605217. Its totient is φ = 871776335040.

The previous prime is 1340498524399. The next prime is 1340498524411. The reversal of 1340498524401 is 1044258940431.

The square root of 1340498524401 is 1157799.

It is a perfect power (a square), and thus also a powerful number.

1340498524401 is a `hidden beast` number, since 1 + 3 + 40 + 49 + 8 + 524 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43004390625 + 1297494133776 = 207375^2 + 1139076^2 .

It is not a de Polignac number, because 1340498524401 - 2¹ = 1340498524399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1340498524411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 142404571 + ... + 142413983.

Almost surely, 2^{1340498524401} is an apocalyptic number.

1340498524401 is the 1157799-th square number.

1340498524401 is the 578900-th centered octagonal number.

It is an amenable number.

1340498524401 is a deficient number, since it is larger than the sum of its proper divisors (644366080816).

1340498524401 is an frugal number, since it uses more digits than its factorization.

1340498524401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18914 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1340498524401 in words is "one trillion, three hundred forty billion, four hundred ninety-eight million, five hundred twenty-four thousand, four hundred one".