4057855260480 has 336 divisors, whose sum is σ = 16005700174464. Its totient is φ = 924342865920.

The previous prime is 4057855260469. The next prime is 4057855260617. The reversal of 4057855260480 is 840625587504.

4057855260480 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 8 + 552 + 6 + 0 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5563395 + ... + 6250365.

It is an arithmetic number, because the mean of its divisors is an integer number (47636012424).

Almost surely, 2^{4057855260480} is an apocalyptic number.

4057855260480 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 4057855260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002850087232).

4057855260480 is an abundant number, since it is smaller than the sum of its proper divisors (11947844913984).

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

4057855260480 is a wasteful number, since it uses less digits than its factorization.

4057855260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687294 (or 687281 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 4057855260480 in words is "four trillion, fifty-seven billion, eight hundred fifty-five million, two hundred sixty thousand, four hundred eighty".