1205641440 has 144 divisors (see below), whose sum is σ = 4127760000. Its totient is φ = 320449536.

The previous prime is 1205641391. The next prime is 1205641441. The reversal of 1205641440 is 441465021.

1205641440 is a `hidden beast` number, since 1 + 205 + 6 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205641441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501361 + ... + 503759.

It is an arithmetic number, because the mean of its divisors is an integer number (28665000).

Almost surely, 2^1205641440 is an apocalyptic number.

1205641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880000).

1205641440 is an abundant number, since it is smaller than the sum of its proper divisors (2922118560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205641440 is a wasteful number, since it uses less digits than its factorization.

1205641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1205641440 is about 34722.3478468839. The cubic root of 1205641440 is about 1064.3212232303.

The spelling of 1205641440 in words is "one billion, two hundred five million, six hundred forty-one thousand, four hundred forty".