1205405641 has 16 divisors (see below), whose sum is σ = 1328302080. Its totient is φ = 1084769280.

The previous prime is 1205405633. The next prime is 1205405671. The reversal of 1205405641 is 1465045021.

It is a cyclic number.

It is not a de Polignac number, because 1205405641 - 2³ = 1205405633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205405671) 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, 989865 + ... + 991081.

It is an arithmetic number, because the mean of its divisors is an integer number (83018880).

Almost surely, 2^1205405641 is an apocalyptic number.

1205405641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1205405641 is a deficient number, since it is larger than the sum of its proper divisors (122896439).

1205405641 is a wasteful number, since it uses less digits than its factorization.

1205405641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1205405641 is about 34718.9521875301. The cubic root of 1205405641 is about 1064.2518321618.

The spelling of 1205405641 in words is "one billion, two hundred five million, four hundred five thousand, six hundred forty-one".