1211104431040 has 336 divisors, whose sum is σ = 3674641489920. Its totient is φ = 377331548160.

The previous prime is 1211104431037. The next prime is 1211104431077. The reversal of 1211104431040 is 401344011121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7651905 + ... + 7808575.

Almost surely, 2^{1211104431040} is an apocalyptic number.

1211104431040 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 1211104431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837320744960).

1211104431040 is an abundant number, since it is smaller than the sum of its proper divisors (2463537058880).

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

1211104431040 is a wasteful number, since it uses less digits than its factorization.

1211104431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156748 (or 156731 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1211104431040 its reverse (401344011121), we get a palindrome (1612448442161).

The spelling of 1211104431040 in words is "one trillion, two hundred eleven billion, one hundred four million, four hundred thirty-one thousand, forty".