4437142364160 has 2016 divisors, whose sum is σ = 18573131865600. Its totient is φ = 1006157168640.

The previous prime is 4437142364159. The next prime is 4437142364173. The reversal of 4437142364160 is 614632417344.

4437142364160 is a `hidden beast` number, since 4 + 4 + 3 + 7 + 1 + 423 + 64 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56166359001 + ... + 56166359079.

Almost surely, 2^{4437142364160} is an apocalyptic number.

4437142364160 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 4437142364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286565932800).

4437142364160 is an abundant number, since it is smaller than the sum of its proper divisors (14135989501440).

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

4437142364160 is an frugal number, since it uses more digits than its factorization.

4437142364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 4437142364160 in words is "four trillion, four hundred thirty-seven billion, one hundred forty-two million, three hundred sixty-four thousand, one hundred sixty".