1211414344140 has 768 divisors, whose sum is σ = 4693792997376. Its totient is φ = 225284198400.

The previous prime is 1211414344109. The next prime is 1211414344163. The reversal of 1211414344140 is 414434141121.

It is a super-3 number, since 3×1211414344140³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1211414344098 and 1211414344107.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 771109555 + ... + 771111125.

It is an arithmetic number, because the mean of its divisors is an integer number (6111709632).

Almost surely, 2^{1211414344140} is an apocalyptic number.

1211414344140 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 1211414344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346896498688).

1211414344140 is an abundant number, since it is smaller than the sum of its proper divisors (3482378653236).

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

1211414344140 is a wasteful number, since it uses less digits than its factorization.

1211414344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1211414344140 its reverse (414434141121), we get a palindrome (1625848485261).

The spelling of 1211414344140 in words is "one trillion, two hundred eleven billion, four hundred fourteen million, three hundred forty-four thousand, one hundred forty".