4057247040 has 336 divisors, whose sum is σ = 16349252544. Its totient is φ = 842956800.

The previous prime is 4057247039. The next prime is 4057247093. The reversal of 4057247040 is 407427504.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4057247040² = 32922507087177523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4057246992 and 4057247010.

It is a congruent number.

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, 513520 + ... + 521360.

Almost surely, 2^4057247040 is an apocalyptic number.

4057247040 is a gapful number since it is divisible by the number (40) 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 4057247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174626272).

4057247040 is an abundant number, since it is smaller than the sum of its proper divisors (12292005504).

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

4057247040 is a wasteful number, since it uses less digits than its factorization.

4057247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 4057247040 is about 63696.5229820278. The cubic root of 4057247040 is about 1594.9380439307.

The spelling of 4057247040 in words is "four billion, fifty-seven million, two hundred forty-seven thousand, forty".