4409949600144 has 225 divisors, whose sum is σ = 14032138514779. Its totient is φ = 1336096365120.

The previous prime is 4409949600097. The next prime is 4409949600167. The reversal of 4409949600144 is 4410069499044.

The square root of 4409949600144 is 2099988.

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

4409949600144 is a `hidden beast` number, since 4 + 4 + 0 + 9 + 9 + 496 + 0 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 831592597 + ... + 831597899.

Almost surely, 2^{4409949600144} is an apocalyptic number.

4409949600144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4409949600144 is the 2099988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4409949600144

4409949600144 is an abundant number, since it is smaller than the sum of its proper divisors (9622188914635).

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

4409949600144 is an frugal number, since it uses more digits than its factorization.

4409949600144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4409949600144 in words is "four trillion, four hundred nine billion, nine hundred forty-nine million, six hundred thousand, one hundred forty-four".