4478241901536 has 960 divisors, whose sum is σ = 15781550754816. Its totient is φ = 1231718400000.

The previous prime is 4478241901489. The next prime is 4478241901537. The reversal of 4478241901536 is 6351091428744.

4478241901536 is a `hidden beast` number, since 4 + 4 + 78 + 2 + 419 + 0 + 153 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4478241901537) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1989444411 + ... + 1989446661.

It is a 1-persistent number, because it is pandigital, but 2⋅4478241901536 = 8956483803072 is not.

Almost surely, 2^{4478241901536} is an apocalyptic number.

4478241901536 is a gapful number since it is divisible by the number (46) 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 4478241901536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890775377408).

4478241901536 is an abundant number, since it is smaller than the sum of its proper divisors (11303308853280).

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

4478241901536 is a wasteful number, since it uses less digits than its factorization.

4478241901536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4478241901536 in words is "four trillion, four hundred seventy-eight billion, two hundred forty-one million, nine hundred one thousand, five hundred thirty-six".