4411235102144 has 224 divisors, whose sum is σ = 9900340961280. Its totient is φ = 1934885449728.

The previous prime is 4411235102143. The next prime is 4411235102147. The reversal of 4411235102144 is 4412015321144.

It is a super-2 number, since 2×4411235102144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4411235102144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411235102143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4126505642 + ... + 4126506710.

It is an arithmetic number, because the mean of its divisors is an integer number (44197950720).

Almost surely, 2^{4411235102144} 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 4411235102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950170480640).

4411235102144 is an abundant number, since it is smaller than the sum of its proper divisors (5489105859136).

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

4411235102144 is a wasteful number, since it uses less digits than its factorization.

4411235102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 4411235102144 in words is "four trillion, four hundred eleven billion, two hundred thirty-five million, one hundred two thousand, one hundred forty-four".