4404274560 has 640 divisors, whose sum is σ = 18394516800. Its totient is φ = 983384064.

The previous prime is 4404274519. The next prime is 4404274561. The reversal of 4404274560 is 654724044.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404274561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19232526 + ... + 19232754.

Almost surely, 2^4404274560 is an apocalyptic number.

4404274560 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 4404274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9197258400).

4404274560 is an abundant number, since it is smaller than the sum of its proper divisors (13990242240).

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

4404274560 is a wasteful number, since it uses less digits than its factorization.

4404274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4404274560 is about 66364.7086937026. The cubic root of 4404274560 is about 1639.1730115667.

The spelling of 4404274560 in words is "four billion, four hundred four million, two hundred seventy-four thousand, five hundred sixty".