1211411344040 has 64 divisors (see below), whose sum is σ = 2747122076160. Its totient is φ = 480753544960.

The previous prime is 1211411344037. The next prime is 1211411344081. The reversal of 1211411344040 is 404431141121.

It is a happy number.

It is a super-3 number, since 3×1211411344040³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24619142 + ... + 24668298.

It is an arithmetic number, because the mean of its divisors is an integer number (42923782440).

Almost surely, 2^{1211411344040} is an apocalyptic number.

1211411344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211411344040 is an abundant number, since it is smaller than the sum of its proper divisors (1535710732120).

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

1211411344040 is a wasteful number, since it uses less digits than its factorization.

1211411344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54002 (or 53998 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1211411344040 its reverse (404431141121), we get a palindrome (1615842485161).

The spelling of 1211411344040 in words is "one trillion, two hundred eleven billion, four hundred eleven million, three hundred forty-four thousand, forty".