4441076640 has 1152 divisors, whose sum is σ = 21250252800. Its totient is φ = 841052160.

The previous prime is 4441076639. The next prime is 4441076659. The reversal of 4441076640 is 466701444.

4441076640 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 0 + 7 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4441076595 and 4441076604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56216121 + ... + 56216199.

It is an arithmetic number, because the mean of its divisors is an integer number (18446400).

Almost surely, 2^4441076640 is an apocalyptic number.

4441076640 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 4441076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10625126400).

4441076640 is an abundant number, since it is smaller than the sum of its proper divisors (16809176160).

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

4441076640 is a wasteful number, since it uses less digits than its factorization.

4441076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4441076640 is about 66641.4033465683. The cubic root of 4441076640 is about 1643.7259919484.

The spelling of 4441076640 in words is "four billion, four hundred forty-one million, seventy-six thousand, six hundred forty".