4406115447648 has 264 divisors, whose sum is σ = 13288849525728. Its totient is φ = 1437427130112.

The previous prime is 4406115447593. The next prime is 4406115447653. The reversal of 4406115447648 is 8467445116044.

4406115447648 is a `hidden beast` number, since 4 + 40 + 6 + 11 + 544 + 7 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4406115447594 and 4406115447603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 88784890 + ... + 88834502.

Almost surely, 2^{4406115447648} is an apocalyptic number.

4406115447648 is a gapful number since it is divisible by the number (48) 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 4406115447648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644424762864).

4406115447648 is an abundant number, since it is smaller than the sum of its proper divisors (8882734078080).

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

4406115447648 is an frugal number, since it uses more digits than its factorization.

4406115447648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49700 (or 49665 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4406115447648 in words is "four trillion, four hundred six billion, one hundred fifteen million, four hundred forty-seven thousand, six hundred forty-eight".