4057149000 has 64 divisors (see below), whose sum is σ = 12658314240. Its totient is φ = 1081905600.

The previous prime is 4057148989. The next prime is 4057149007. The reversal of 4057149000 is 9417504.

It is a happy number.

4057149000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4057149007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673192 + ... + 679191.

It is an arithmetic number, because the mean of its divisors is an integer number (197786160).

Almost surely, 2^4057149000 is an apocalyptic number.

4057149000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4057149000 is an abundant number, since it is smaller than the sum of its proper divisors (8601165240).

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

4057149000 is a wasteful number, since it uses less digits than its factorization.

4057149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352407 (or 1352393 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 4057149000 is about 63695.7533906304. The cubic root of 4057149000 is about 1594.9251970435.

The spelling of 4057149000 in words is "four billion, fifty-seven million, one hundred forty-nine thousand".