1211101540440 has 192 divisors, whose sum is σ = 3997121990400. Its totient is φ = 293343832320.

The previous prime is 1211101540423. The next prime is 1211101540457. The reversal of 1211101540440 is 440451011121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1211101540423) and next prime (1211101540457).

It is a super-2 number, since 2×1211101540440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1211101540440.

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, 16850901 + ... + 16922619.

It is an arithmetic number, because the mean of its divisors is an integer number (20818343700).

Almost surely, 2^{1211101540440} is an apocalyptic number.

1211101540440 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 1211101540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998560995200).

1211101540440 is an abundant number, since it is smaller than the sum of its proper divisors (2786020449960).

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

1211101540440 is a wasteful number, since it uses less digits than its factorization.

1211101540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72918 (or 72903 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 1211101540440 its reverse (440451011121), we get a palindrome (1651552551561).

The spelling of 1211101540440 in words is "one trillion, two hundred eleven billion, one hundred one million, five hundred forty thousand, four hundred forty".