4408547899680 has 960 divisors, whose sum is σ = 17018268220800. Its totient is φ = 1070381039616.

The previous prime is 4408547899631. The next prime is 4408547899729. The reversal of 4408547899680 is 869987458044.

4408547899680 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 5 + 478 + 99 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4408547899631) and next prime (4408547899729).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4408547899599 and 4408547899608.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1013690146 + ... + 1013694494.

It is an arithmetic number, because the mean of its divisors is an integer number (17727362730).

Almost surely, 2^{4408547899680} is an apocalyptic number.

4408547899680 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 4408547899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509134110400).

4408547899680 is an abundant number, since it is smaller than the sum of its proper divisors (12609720321120).

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

4408547899680 is a wasteful number, since it uses less digits than its factorization.

4408547899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 4408547899680 in words is "four trillion, four hundred eight billion, five hundred forty-seven million, eight hundred ninety-nine thousand, six hundred eighty".