4006626144560 has 320 divisors, whose sum is σ = 11158685798400. Its totient is φ = 1323591819264.

The previous prime is 4006626144431. The next prime is 4006626144601. The reversal of 4006626144560 is 654416266004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35848124 + ... + 35959716.

It is an arithmetic number, because the mean of its divisors is an integer number (34870893120).

Almost surely, 2^{4006626144560} is an apocalyptic number.

4006626144560 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 4006626144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579342899200).

4006626144560 is an abundant number, since it is smaller than the sum of its proper divisors (7152059653840).

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

4006626144560 is a wasteful number, since it uses less digits than its factorization.

4006626144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111740 (or 111734 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 4006626144560 in words is "four trillion, six billion, six hundred twenty-six million, one hundred forty-four thousand, five hundred sixty".