4057962048 has 252 divisors, whose sum is σ = 13758066972. Its totient is φ = 1139927040.

The previous prime is 4057962043. The next prime is 4057962049. The reversal of 4057962048 is 8402697504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 379782144 + 3678179904 = 19488^2 + 60648^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 4057961994 and 4057962012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057962043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1720486 + ... + 1722842.

Almost surely, 2^4057962048 is an apocalyptic number.

4057962048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879033486).

4057962048 is an abundant number, since it is smaller than the sum of its proper divisors (9700104924).

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

4057962048 is a wasteful number, since it uses less digits than its factorization.

4057962048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4057962048 is about 63702.1353488248. The cubic root of 4057962048 is about 1595.0317303200.

The spelling of 4057962048 in words is "four billion, fifty-seven million, nine hundred sixty-two thousand, forty-eight".