4131465444 has 72 divisors (see below), whose sum is σ = 10554780600. Its totient is φ = 1362547200.

The previous prime is 4131465427. The next prime is 4131465451. The reversal of 4131465444 is 4445641314.

4131465444 is a `hidden beast` number, since 41 + 31 + 46 + 544 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104040000 + 4027425444 = 10200^2 + 63462^2 .

It is a super-2 number, since 2×4131465444² = 34138013429932234272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4131465399 and 4131465408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505914 + ... + 1508654.

It is an arithmetic number, because the mean of its divisors is an integer number (146594175).

Almost surely, 2^4131465444 is an apocalyptic number.

It is an amenable number.

4131465444 is an abundant number, since it is smaller than the sum of its proper divisors (6423315156).

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

4131465444 is a wasteful number, since it uses less digits than its factorization.

4131465444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3176 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4131465444 is about 64276.4765991416. The cubic root of 4131465444 is about 1604.6046319945.

The spelling of 4131465444 in words is "four billion, one hundred thirty-one million, four hundred sixty-five thousand, four hundred forty-four".