4445186640 has 160 divisors (see below), whose sum is σ = 13964106240. Its totient is φ = 1169674752.

The previous prime is 4445186611. The next prime is 4445186659. The reversal of 4445186640 is 466815444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4445186592 and 4445186601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7572427 + ... + 7573013.

It is an arithmetic number, because the mean of its divisors is an integer number (87275664).

Almost surely, 2^4445186640 is an apocalyptic number.

4445186640 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 4445186640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982053120).

4445186640 is an abundant number, since it is smaller than the sum of its proper divisors (9518919600).

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

4445186640 is a wasteful number, since it uses less digits than its factorization.

4445186640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 4445186640 is about 66672.2329009611. The cubic root of 4445186640 is about 1644.2328983750.

The spelling of 4445186640 in words is "four billion, four hundred forty-five million, one hundred eighty-six thousand, six hundred forty".