4421137153664 has 576 divisors, whose sum is σ = 12016217989440. Its totient is φ = 1580546457600.

The previous prime is 4421137153651. The next prime is 4421137153733. The reversal of 4421137153664 is 4663517311244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3098203319 + ... + 3098204745.

It is an arithmetic number, because the mean of its divisors is an integer number (20861489565).

Almost surely, 2^{4421137153664} is an apocalyptic number.

4421137153664 is a gapful number since it is divisible by the number (44) 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 4421137153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008108994720).

4421137153664 is an abundant number, since it is smaller than the sum of its proper divisors (7595080835776).

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

4421137153664 is a wasteful number, since it uses less digits than its factorization.

4421137153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1505 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 47.

The spelling of 4421137153664 in words is "four trillion, four hundred twenty-one billion, one hundred thirty-seven million, one hundred fifty-three thousand, six hundred sixty-four".