4466644179840 has 512 divisors, whose sum is σ = 16145930880000. Its totient is φ = 1166595416064.

The previous prime is 4466644179817. The next prime is 4466644179841. The reversal of 4466644179840 is 489714466644.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466644179841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566901021 + ... + 566908899.

It is an arithmetic number, because the mean of its divisors is an integer number (31535021250).

Almost surely, 2^{4466644179840} is an apocalyptic number.

4466644179840 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 4466644179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072965440000).

4466644179840 is an abundant number, since it is smaller than the sum of its proper divisors (11679286700160).

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

4466644179840 is a wasteful number, since it uses less digits than its factorization.

4466644179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8579 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 4466644179840 in words is "four trillion, four hundred sixty-six billion, six hundred forty-four million, one hundred seventy-nine thousand, eight hundred forty".