240511776401 has 16 divisors (see below), whose sum is σ = 274334783184. Its totient is φ = 208885837824.

The previous prime is 240511776383. The next prime is 240511776419. The reversal of 240511776401 is 104677115042.

It is a Cunningham number, because it is equal to 490420²+1.

It is an interprime number because it is at equal distance from previous prime (240511776383) and next prime (240511776419).

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 240511776400 = 1^2 + 490420^2 .

It is a cyclic number.

It is not a de Polignac number, because 240511776401 - 2²² = 240507582097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240511766401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541811 + ... + 880103.

It is an arithmetic number, because the mean of its divisors is an integer number (17145923949).

Almost surely, 2^240511776401 is an apocalyptic number.

It is an amenable number.

240511776401 is a deficient number, since it is larger than the sum of its proper divisors (33823006783).

240511776401 is a wasteful number, since it uses less digits than its factorization.

240511776401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341540.

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 240511776401 in words is "two hundred forty billion, five hundred eleven million, seven hundred seventy-six thousand, four hundred one".