240836544001 has 27 divisors (see below), whose sum is σ = 265947871329. Its totient is φ = 218046558312.

The previous prime is 240836543903. The next prime is 240836544049. The reversal of 240836544001 is 100445638042.

The square root of 240836544001 is 490751.

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

It is not a de Polignac number, because 240836544001 - 2³¹ = 238689060353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240836544101) 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, 214457626 + ... + 214458748.

Almost surely, 2^240836544001 is an apocalyptic number.

240836544001 is the 490751-st square number.

240836544001 is the 245376-th centered octagonal number.

It is an amenable number.

240836544001 is a deficient number, since it is larger than the sum of its proper divisors (25111327328).

240836544001 is an frugal number, since it uses more digits than its factorization.

240836544001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 240836544001 in words is "two hundred forty billion, eight hundred thirty-six million, five hundred forty-four thousand, one".