4382628249600 has 900 divisors, whose sum is σ = 16659640773776. Its totient is φ = 1141521776640.

The previous prime is 4382628249413. The next prime is 4382628249641. The reversal of 4382628249600 is 69428262834.

4382628249600 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 6 + 2 + 8 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 35 ways as a sum of consecutive naturals, for example, 101921587179 + ... + 101921587221.

Almost surely, 2^{4382628249600} is an apocalyptic number.

4382628249600 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 4382628249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329820386888).

4382628249600 is an abundant number, since it is smaller than the sum of its proper divisors (12277012524176).

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

4382628249600 is an frugal number, since it uses more digits than its factorization.

4382628249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4382628249600 in words is "four trillion, three hundred eighty-two billion, six hundred twenty-eight million, two hundred forty-nine thousand, six hundred".