2311126453440 has 1344 divisors, whose sum is σ = 9748340858880. Its totient is φ = 491373527040.

The previous prime is 2311126453417. The next prime is 2311126453457. The reversal of 2311126453440 is 443546211132.

2311126453440 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 1 + 2 + 645 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 2311126453395 and 2311126453404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2057992719 + ... + 2057993841.

Almost surely, 2^{2311126453440} is an apocalyptic number.

2311126453440 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 2311126453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874170429440).

2311126453440 is an abundant number, since it is smaller than the sum of its proper divisors (7437214405440).

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

2311126453440 is a wasteful number, since it uses less digits than its factorization.

2311126453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2311126453440 in words is "two trillion, three hundred eleven billion, one hundred twenty-six million, four hundred fifty-three thousand, four hundred forty".