4409705942400 has 1536 divisors, whose sum is σ = 17614636876800. Its totient is φ = 956956672000.

The previous prime is 4409705942351. The next prime is 4409705942407. The reversal of 4409705942400 is 42495079044.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4409705942400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4409705942407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3696316204 + ... + 3696317396.

It is an arithmetic number, because the mean of its divisors is an integer number (11467862550).

Almost surely, 2^{4409705942400} is an apocalyptic number.

4409705942400 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 4409705942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807318438400).

4409705942400 is an abundant number, since it is smaller than the sum of its proper divisors (13204930934400).

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

4409705942400 is a wasteful number, since it uses less digits than its factorization.

4409705942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 4409705942400 in words is "four trillion, four hundred nine billion, seven hundred five million, nine hundred forty-two thousand, four hundred".