4157829945 has 48 divisors (see below), whose sum is σ = 7916088960. Its totient is φ = 2009449728.

The previous prime is 4157829937. The next prime is 4157829959. The reversal of 4157829945 is 5499287514.

It is a happy number.

4157829945 is a `hidden beast` number, since 4 + 1 + 578 + 29 + 9 + 45 = 666.

It is not a de Polignac number, because 4157829945 - 2³ = 4157829937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4157829891 and 4157829900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86052 + ... + 125381.

It is an arithmetic number, because the mean of its divisors is an integer number (164918520).

Almost surely, 2^4157829945 is an apocalyptic number.

4157829945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4157829945 is a deficient number, since it is larger than the sum of its proper divisors (3758259015).

4157829945 is a wasteful number, since it uses less digits than its factorization.

4157829945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211486 (or 211483 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 4157829945 is about 64481.2371546949. The cubic root of 4157829945 is about 1608.0106010755.

The spelling of 4157829945 in words is "four billion, one hundred fifty-seven million, eight hundred twenty-nine thousand, nine hundred forty-five".