3920356854144 has 384 divisors, whose sum is σ = 11655089053920. Its totient is φ = 1264290693120.

The previous prime is 3920356854143. The next prime is 3920356854163. The reversal of 3920356854144 is 4414586530293.

It is a happy number.

3920356854144 is a `hidden beast` number, since 3 + 9 + 2 + 0 + 3 + 56 + 8 + 541 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920356854143) 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, 1455756862 + ... + 1455759554.

Almost surely, 2^{3920356854144} 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 3920356854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827544526960).

3920356854144 is an abundant number, since it is smaller than the sum of its proper divisors (7734732199776).

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

3920356854144 is a wasteful number, since it uses less digits than its factorization.

3920356854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3920356854144 in words is "three trillion, nine hundred twenty billion, three hundred fifty-six million, eight hundred fifty-four thousand, one hundred forty-four".