3944143607040 has 864 divisors, whose sum is σ = 17025883580160. Its totient is φ = 820755431424.

The previous prime is 3944143607021. The next prime is 3944143607051. The reversal of 3944143607040 is 407063414493.

3944143607040 is a `hidden beast` number, since 3 + 9 + 441 + 43 + 60 + 70 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76501591 + ... + 76553129.

Almost surely, 2^{3944143607040} is an apocalyptic number.

3944143607040 is a gapful number since it is divisible by the number (30) 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 3944143607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8512941790080).

3944143607040 is an abundant number, since it is smaller than the sum of its proper divisors (13081739973120).

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

3944143607040 is a wasteful number, since it uses less digits than its factorization.

3944143607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51659 (or 51642 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3944143607040 in words is "three trillion, nine hundred forty-four billion, one hundred forty-three million, six hundred seven thousand, forty".