4410000000000 has 1089 divisors, whose sum is σ = 18515954210637. Its totient is φ = 1008000000000.

The previous prime is 4409999999921. The next prime is 4410000000011. The reversal of 4410000000000 is 144.

The square root of 4410000000000 is 2100000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 25365021696 + 4384634978304 = 159264^2 + 2093952^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4410000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 629999999997 + ... + 630000000003.

Almost surely, 2^{4410000000000} is an apocalyptic number.

4410000000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4410000000000 is the 2100000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4410000000000

4410000000000 is an abundant number, since it is smaller than the sum of its proper divisors (14105954210637).

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

4410000000000 is an frugal number, since it uses more digits than its factorization.

4410000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Multiplying 4410000000000 by its product of nonzero digits (16), we get a square (70560000000000 = 8400000²).

4410000000000 divided by its product of nonzero digits (16) gives a square (275625000000 = 525000²).

Adding to 4410000000000 its reverse (144), we get a palindrome (4410000000144).

Multiplying 4410000000000 by its reverse (144), we get a square (635040000000000 = 25200000²).

4410000000000 divided by its reverse (144) gives a square (30625000000 = 175000²).

The spelling of 4410000000000 in words is "four trillion, four hundred ten billion", and thus it is an aban number.