4441101041664 has 483 divisors, whose sum is σ = 14968135402987. Its totient is φ = 1268886011904.

The previous prime is 4441101041621. The next prime is 4441101041701. The reversal of 4441101041664 is 4661401011444.

The square root of 4441101041664 is 2107392.

It is a perfect power (a square), and thus also a powerful number.

4441101041664 is a `hidden beast` number, since 44 + 41 + 101 + 0 + 416 + 64 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 634443005949 + ... + 634443005955.

Almost surely, 2^{4441101041664} is an apocalyptic number.

4441101041664 is the 2107392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441101041664

4441101041664 is an abundant number, since it is smaller than the sum of its proper divisors (10527034361323).

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

4441101041664 is an frugal number, since it uses more digits than its factorization.

4441101041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 4441101041664 by its sum of digits (36), we get a square (159879637499904 = 12644352²).

4441101041664 divided by its sum of digits (36) gives a square (123363917824 = 351232²).

4441101041664 divided by its product of nonzero digits (36864) gives a square (120472576 = 10976²).

The spelling of 4441101041664 in words is "four trillion, four hundred forty-one billion, one hundred one million, forty-one thousand, six hundred sixty-four".