4057867960848 has 960 divisors, whose sum is σ = 13782887838720. Its totient is φ = 1101790052352.

The previous prime is 4057867960801. The next prime is 4057867960859. The reversal of 4057867960848 is 8480697687504.

4057867960848 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 8 + 6 + 7 + 9 + 608 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10879002390 + ... + 10879002762.

It is an arithmetic number, because the mean of its divisors is an integer number (14357174832).

Almost surely, 2^{4057867960848} is an apocalyptic number.

4057867960848 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 4057867960848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891443919360).

4057867960848 is an abundant number, since it is smaller than the sum of its proper divisors (9725019877872).

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

4057867960848 is a wasteful number, since it uses less digits than its factorization.

4057867960848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 4057867960848 in words is "four trillion, fifty-seven billion, eight hundred sixty-seven million, nine hundred sixty thousand, eight hundred forty-eight".