4057690000 has 375 divisors, whose sum is σ = 12410147013. Its totient is φ = 1284192000.

The previous prime is 4057689983. The next prime is 4057690003. The reversal of 4057690000 is 967504.

The square root of 4057690000 is 63700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4007902864 + 49787136 = 63308^2 + 7056^2 .

It is a super-2 number, since 2×4057690000² = 32929696272200000000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4057690003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 312129994 + ... + 312130006.

Almost surely, 2^4057690000 is an apocalyptic number.

4057690000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4057690000 is the 63700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057690000

4057690000 is an abundant number, since it is smaller than the sum of its proper divisors (8352457013).

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

4057690000 is an frugal number, since it uses more digits than its factorization.

4057690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The cubic root of 4057690000 is about 1594.9960855897.

The spelling of 4057690000 in words is "four billion, fifty-seven million, six hundred ninety thousand".