114411843477440 has 224 divisors, whose sum is σ = 287422304463360. Its totient is φ = 43293901787136.

The previous prime is 114411843477439. The next prime is 114411843477511. The reversal of 114411843477440 is 44774348114411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438694919 + ... + 438955641.

Almost surely, 2^{114411843477440} is an apocalyptic number.

114411843477440 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 114411843477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143711152231680).

114411843477440 is an abundant number, since it is smaller than the sum of its proper divisors (173010460985920).

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

114411843477440 is a wasteful number, since it uses less digits than its factorization.

114411843477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261419 (or 261409 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 53.

The spelling of 114411843477440 in words is "one hundred fourteen trillion, four hundred eleven billion, eight hundred forty-three million, four hundred seventy-seven thousand, four hundred forty".