4414742474144 has 24 divisors (see below), whose sum is σ = 8692402712868. Its totient is φ = 2207148134400.

The previous prime is 4414742474137. The next prime is 4414742474167.

4414742474144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4414621210000 + 121264144 = 2101100^2 + 11012^2 .

It is a super-2 number, since 2×4414742474144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4414742474092 and 4414742474101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6650177 + ... + 7283840.

Almost surely, 2^{4414742474144} is an apocalyptic number.

It is an amenable number.

4414742474144 is a deficient number, since it is larger than the sum of its proper divisors (4277660238724).

4414742474144 is a wasteful number, since it uses less digits than its factorization.

4414742474144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13943928 (or 13943920 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 50.

The spelling of 4414742474144 in words is "four trillion, four hundred fourteen billion, seven hundred forty-two million, four hundred seventy-four thousand, one hundred forty-four".