4132057644 has 96 divisors (see below), whose sum is σ = 12585646080. Its totient is φ = 1155816000.

The previous prime is 4132057591. The next prime is 4132057739. The reversal of 4132057644 is 4467502314.

4132057644 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 0 + 5 + 7 + 644 = 666.

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 = 4132057599 and 4132057608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118332 + ... + 149219.

It is an arithmetic number, because the mean of its divisors is an integer number (131100480).

Almost surely, 2^4132057644 is an apocalyptic number.

4132057644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4132057644 is an abundant number, since it is smaller than the sum of its proper divisors (8453588436).

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

4132057644 is a wasteful number, since it uses less digits than its factorization.

4132057644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267588 (or 267580 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4132057644 is about 64281.0830960400. The cubic root of 4132057644 is about 1604.6812957899.

Adding to 4132057644 its reverse (4467502314), we get a palindrome (8599559958).

The spelling of 4132057644 in words is "four billion, one hundred thirty-two million, fifty-seven thousand, six hundred forty-four".