4461444063040 has 28 divisors (see below), whose sum is σ = 10623813675876. Its totient is φ = 1784577625088.

The previous prime is 4461444063019. The next prime is 4461444063119. The reversal of 4461444063040 is 403604441644.

It can be written as a sum of positive squares in 2 ways, for example, as 966697971264 + 3494746091776 = 983208^2 + 1869424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4461444062984 and 4461444063002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6971006029 + ... + 6971006668.

Almost surely, 2^{4461444063040} is an apocalyptic number.

4461444063040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4461444063040 is an abundant number, since it is smaller than the sum of its proper divisors (6162369612836).

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

4461444063040 is a wasteful number, since it uses less digits than its factorization.

4461444063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942012714 (or 13942012704 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 4461444063040 in words is "four trillion, four hundred sixty-one billion, four hundred forty-four million, sixty-three thousand, forty".