4144609494800 has 60 divisors (see below), whose sum is σ = 9964963374516. Its totient is φ = 1656588595200.

The previous prime is 4144609494761. The next prime is 4144609494859. The reversal of 4144609494800 is 84949064414.

It can be written as a sum of positive squares in 6 ways, for example, as 208290006544 + 3936319488256 = 456388^2 + 1984016^2 .

It is a super-2 number, since 2×4144609494800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3393449 + ... + 4450248.

Almost surely, 2^{4144609494800} is an apocalyptic number.

4144609494800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144609494800 is an abundant number, since it is smaller than the sum of its proper divisors (5820353879716).

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

4144609494800 is a wasteful number, since it uses less digits than its factorization.

4144609494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845036 (or 7845025 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 4144609494800 in words is "four trillion, one hundred forty-four billion, six hundred nine million, four hundred ninety-four thousand, eight hundred".