4409825842240 has 672 divisors, whose sum is σ = 13926886243200. Its totient is φ = 1314589409280.

The previous prime is 4409825842237. The next prime is 4409825842249. The reversal of 4409825842240 is 422485289044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (4409825842249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 693256660 + ... + 693263020.

It is an arithmetic number, because the mean of its divisors is an integer number (20724533100).

Almost surely, 2^{4409825842240} is an apocalyptic number.

4409825842240 is a gapful number since it is divisible by the number (40) 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 4409825842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963443121600).

4409825842240 is an abundant number, since it is smaller than the sum of its proper divisors (9517060400960).

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

4409825842240 is a wasteful number, since it uses less digits than its factorization.

4409825842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 52.

The spelling of 4409825842240 in words is "four trillion, four hundred nine billion, eight hundred twenty-five million, eight hundred forty-two thousand, two hundred forty".