4490383772160 has 1280 divisors, whose sum is σ = 18870667200000. Its totient is φ = 997769871360.

The previous prime is 4490383772117. The next prime is 4490383772167. The reversal of 4490383772160 is 612773830944.

4490383772160 is a `hidden beast` number, since 4 + 49 + 0 + 383 + 7 + 7 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 4490383772097 and 4490383772106.

It is not an unprimeable number, because it can be changed into a prime (4490383772167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1472738316 + ... + 1472741364.

It is an arithmetic number, because the mean of its divisors is an integer number (14742708750).

Almost surely, 2^{4490383772160} is an apocalyptic number.

4490383772160 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 4490383772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435333600000).

4490383772160 is an abundant number, since it is smaller than the sum of its proper divisors (14380283427840).

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

4490383772160 is a wasteful number, since it uses less digits than its factorization.

4490383772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4490383772160 in words is "four trillion, four hundred ninety billion, three hundred eighty-three million, seven hundred seventy-two thousand, one hundred sixty".