4416449771520 has 192 divisors, whose sum is σ = 15699099780000. Its totient is φ = 1177719865344.

The previous prime is 4416449771501. The next prime is 4416449771533. The reversal of 4416449771520 is 251779446144.

It is a happy number.

4416449771520 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 4 + 49 + 7 + 71 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4416449771520² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7710445 + ... + 8263404.

Almost surely, 2^{4416449771520} is an apocalyptic number.

4416449771520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4416449771520 is an abundant number, since it is smaller than the sum of its proper divisors (11282650008480).

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

4416449771520 is a wasteful number, since it uses less digits than its factorization.

4416449771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15973885 (or 15973859 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4416449771520 in words is "four trillion, four hundred sixteen billion, four hundred forty-nine million, seven hundred seventy-one thousand, five hundred twenty".