4057664256000 has 288 divisors, whose sum is σ = 14625668912400. Its totient is φ = 1082043187200.

The previous prime is 4057664255993. The next prime is 4057664256011. The reversal of 4057664256000 is 6524667504.

4057664256000 is a `hidden beast` number, since 40 + 5 + 7 + 6 + 6 + 42 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1423431 + ... + 3184569.

Almost surely, 2^{4057664256000} is an apocalyptic number.

4057664256000 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 4057664256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312834456200).

4057664256000 is an abundant number, since it is smaller than the sum of its proper divisors (10568004656400).

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

4057664256000 is a wasteful number, since it uses less digits than its factorization.

4057664256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761182 (or 1761149 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 4057664256000 in words is "four trillion, fifty-seven billion, six hundred sixty-four million, two hundred fifty-six thousand".