4144311416616 has 128 divisors (see below), whose sum is σ = 11864106240000. Its totient is φ = 1181768797440.

The previous prime is 4144311416579. The next prime is 4144311416617. The reversal of 4144311416616 is 6166141134414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4144311416617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370916406 + ... + 370927578.

It is an arithmetic number, because the mean of its divisors is an integer number (92688330000).

Almost surely, 2^{4144311416616} is an apocalyptic number.

It is an amenable number.

4144311416616 is an abundant number, since it is smaller than the sum of its proper divisors (7719794823384).

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

4144311416616 is a wasteful number, since it uses less digits than its factorization.

4144311416616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15319 (or 15315 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 4144311416616 in words is "four trillion, one hundred forty-four billion, three hundred eleven million, four hundred sixteen thousand, six hundred sixteen".