4057495681680 has 1200 divisors, whose sum is σ = 16832529077760. Its totient is φ = 902898855936.

The previous prime is 4057495681667. The next prime is 4057495681693. The reversal of 4057495681680 is 861865947504.

4057495681680 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 4 + 9 + 568 + 1 + 68 + 0 = 666.

4057495681680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4057495681667) and next prime (4057495681693).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1893370689 + ... + 1893372831.

Almost surely, 2^{4057495681680} is an apocalyptic number.

4057495681680 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 4057495681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416264538880).

4057495681680 is an abundant number, since it is smaller than the sum of its proper divisors (12775033396080).

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

4057495681680 is a wasteful number, since it uses less digits than its factorization.

4057495681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 4057495681680 in words is "four trillion, fifty-seven billion, four hundred ninety-five million, six hundred eighty-one thousand, six hundred eighty".