4407410828160 has 448 divisors, whose sum is σ = 16726766334480. Its totient is φ = 1106171707392.

The previous prime is 4407410828123. The next prime is 4407410828203. The reversal of 4407410828160 is 618280147044.

4407410828160 is a `hidden beast` number, since 4 + 407 + 4 + 1 + 0 + 82 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7653679 + ... + 8209361.

Almost surely, 2^{4407410828160} is an apocalyptic number.

4407410828160 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 4407410828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363383167240).

4407410828160 is an abundant number, since it is smaller than the sum of its proper divisors (12319355506320).

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

4407410828160 is an equidigital number, since it uses as much as digits as its factorization.

4407410828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555737 (or 555710 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 4407410828160 in words is "four trillion, four hundred seven billion, four hundred ten million, eight hundred twenty-eight thousand, one hundred sixty".