4480101749664 has 240 divisors, whose sum is σ = 13536875039688. Its totient is φ = 1452478169088.

The previous prime is 4480101749657. The next prime is 4480101749737. The reversal of 4480101749664 is 4669471010844.

4480101749664 is a `hidden beast` number, since 4 + 4 + 80 + 1 + 0 + 17 + 496 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3510451904400 + 969649845264 = 1873620^2 + 984708^2 .

It is a super-2 number, since 2×4480101749664² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4480101749664.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331533372 + ... + 331546884.

Almost surely, 2^{4480101749664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4480101749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768437519844).

4480101749664 is an abundant number, since it is smaller than the sum of its proper divisors (9056773290024).

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

4480101749664 is a wasteful number, since it uses less digits than its factorization.

4480101749664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17029 (or 17012 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4480101749664 in words is "four trillion, four hundred eighty billion, one hundred one million, seven hundred forty-nine thousand, six hundred sixty-four".