4057630796160 has 448 divisors, whose sum is σ = 15399302532480. Its totient is φ = 1018383777792.

The previous prime is 4057630796117. The next prime is 4057630796161. The reversal of 4057630796160 is 616970367504.

It is a happy number.

4057630796160 is a `hidden beast` number, since 4 + 0 + 576 + 3 + 0 + 7 + 9 + 6 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4057630796097 and 4057630796106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057630796161) 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 55 ways as a sum of consecutive naturals, for example, 7675729 + ... + 8187311.

Almost surely, 2^{4057630796160} is an apocalyptic number.

4057630796160 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 4057630796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699651266240).

4057630796160 is an abundant number, since it is smaller than the sum of its proper divisors (11341671736320).

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

4057630796160 is an equidigital number, since it uses as much as digits as its factorization.

4057630796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511637 (or 511610 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 4057630796160 in words is "four trillion, fifty-seven billion, six hundred thirty million, seven hundred ninety-six thousand, one hundred sixty".