2211196141440 has 1536 divisors, whose sum is σ = 9262693440000. Its totient is φ = 478916444160.

The previous prime is 2211196141421. The next prime is 2211196141447. The reversal of 2211196141440 is 441416911122.

2211196141440 is a `hidden beast` number, since 2 + 2 + 1 + 119 + 61 + 41 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2211196141395 and 2211196141404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211196141447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5277317551 + ... + 5277317969.

It is an arithmetic number, because the mean of its divisors is an integer number (6030399375).

Almost surely, 2^{2211196141440} is an apocalyptic number.

2211196141440 is a gapful number since it is divisible by the number (20) 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 2211196141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631346720000).

2211196141440 is an abundant number, since it is smaller than the sum of its proper divisors (7051497298560).

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

2211196141440 is a wasteful number, since it uses less digits than its factorization.

2211196141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2211196141440 in words is "two trillion, two hundred eleven billion, one hundred ninety-six million, one hundred forty-one thousand, four hundred forty".