4056641941248 has 2304 divisors, whose sum is σ = 15427915776000. Its totient is φ = 1036351438848.

The previous prime is 4056641941243. The next prime is 4056641941273. The reversal of 4056641941248 is 8421491466504.

4056641941248 is a `hidden beast` number, since 4 + 0 + 566 + 4 + 19 + 41 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 4056641941194 and 4056641941203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056641941243) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39384873165 + ... + 39384873267.

It is an arithmetic number, because the mean of its divisors is an integer number (6696144000).

Almost surely, 2^{4056641941248} is an apocalyptic number.

4056641941248 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 4056641941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713957888000).

4056641941248 is an abundant number, since it is smaller than the sum of its proper divisors (11371273834752).

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

4056641941248 is a wasteful number, since it uses less digits than its factorization.

4056641941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4056641941248 in words is "four trillion, fifty-six billion, six hundred forty-one million, nine hundred forty-one thousand, two hundred forty-eight".