4411225019340 has 864 divisors, whose sum is σ = 15264931019520. Its totient is φ = 1065534953472.

The previous prime is 4411225019297. The next prime is 4411225019363. The reversal of 4411225019340 is 439105221144.

4411225019340 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 22 + 501 + 93 + 40 = 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 = 4411225019295 and 4411225019304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27062730099 + ... + 27062730261.

Almost surely, 2^{4411225019340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411225019340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632465509760).

4411225019340 is an abundant number, since it is smaller than the sum of its proper divisors (10853706000180).

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

4411225019340 is a wasteful number, since it uses less digits than its factorization.

4411225019340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4411225019340 in words is "four trillion, four hundred eleven billion, two hundred twenty-five million, nineteen thousand, three hundred forty".