4148822783520 has 144 divisors (see below), whose sum is σ = 14162666662872. Its totient is φ = 1105976954880.

The previous prime is 4148822783513. The next prime is 4148822783597. The reversal of 4148822783520 is 253872288414.

It is a happy number.

4148822783520 is a `hidden beast` number, since 4 + 1 + 48 + 8 + 2 + 2 + 78 + 3 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3911423863824 + 237398919696 = 1977732^2 + 487236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3764490 + ... + 4740150.

Almost surely, 2^{4148822783520} is an apocalyptic number.

4148822783520 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 4148822783520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081333331436).

4148822783520 is an abundant number, since it is smaller than the sum of its proper divisors (10013843879352).

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

4148822783520 is a wasteful number, since it uses less digits than its factorization.

4148822783520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978635 (or 978624 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4148822783520 in words is "four trillion, one hundred forty-eight billion, eight hundred twenty-two million, seven hundred eighty-three thousand, five hundred twenty".