380400642261 has 24 divisors (see below), whose sum is σ = 550715216480. Its totient is φ = 253025138016.

The previous prime is 380400642253. The next prime is 380400642299. The reversal of 380400642261 is 162246004083.

380400642261 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 0 + 0 + 642 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 380400642261 - 2³ = 380400642253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380400642221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8954970 + ... + 8997348.

Almost surely, 2^380400642261 is an apocalyptic number.

It is an amenable number.

380400642261 is a deficient number, since it is larger than the sum of its proper divisors (170314574219).

380400642261 is a wasteful number, since it uses less digits than its factorization.

380400642261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44625 (or 44622 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 380400642261 in words is "three hundred eighty billion, four hundred million, six hundred forty-two thousand, two hundred sixty-one".