4410840040000 has 105 divisors (see below), whose sum is σ = 10938491438061. Its totient is φ = 1764168000000.

The previous prime is 4410840039997. The next prime is 4410840040049. The reversal of 4410840040000 is 400480144.

It is a happy number.

The square root of 4410840040000 is 2100200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4050494357056 + 360345682944 = 2012584^2 + 600288^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 420034750 + ... + 420045250.

Almost surely, 2^{4410840040000} is an apocalyptic number.

4410840040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4410840040000 is the 2100200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4410840040000

4410840040000 is an abundant number, since it is smaller than the sum of its proper divisors (6527651398061).

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

4410840040000 is an frugal number, since it uses more digits than its factorization.

4410840040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21034 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Multiplying 4410840040000 by its sum of digits (25), we get a square (110271001000000 = 10501000²).

4410840040000 divided by its sum of digits (25) gives a square (176433601600 = 420040²).

The spelling of 4410840040000 in words is "four trillion, four hundred ten billion, eight hundred forty million, forty thousand".