4066881928704 has 480 divisors, whose sum is σ = 13563376459776. Its totient is φ = 1149092904960.

The previous prime is 4066881928691. The next prime is 4066881928709. The reversal of 4066881928704 is 4078291886604.

4066881928704 is a `hidden beast` number, since 406 + 68 + 8 + 1 + 92 + 87 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066881928709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421488234 + ... + 1421491094.

Almost surely, 2^{4066881928704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066881928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781688229888).

4066881928704 is an abundant number, since it is smaller than the sum of its proper divisors (9496494531072).

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

4066881928704 is a wasteful number, since it uses less digits than its factorization.

4066881928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 4066881928704 in words is "four trillion, sixty-six billion, eight hundred eighty-one million, nine hundred twenty-eight thousand, seven hundred four".