1211941440 has 140 divisors (see below), whose sum is σ = 4311181116. Its totient is φ = 323177472.

The previous prime is 1211941421. The next prime is 1211941457. The reversal of 1211941440 is 441491121.

1211941440 is a `hidden beast` number, since 1 + 211 + 9 + 4 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 817045056 + 394896384 = 28584^2 + 19872^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2542 + ... + 49298.

Almost surely, 2^1211941440 is an apocalyptic number.

1211941440 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 1211941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155590558).

1211941440 is an abundant number, since it is smaller than the sum of its proper divisors (3099239676).

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

1211941440 is an equidigital number, since it uses as much as digits as its factorization.

1211941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46786 (or 46767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1211941440 is about 34812.9493148742. The cubic root of 1211941440 is about 1066.1718503561.

The spelling of 1211941440 in words is "one billion, two hundred eleven million, nine hundred forty-one thousand, four hundred forty".