3987425174040 has 768 divisors, whose sum is σ = 16565897088000. Its totient is φ = 824569804800.

The previous prime is 3987425173987. The next prime is 3987425174041. The reversal of 3987425174040 is 404715247893.

3987425174040 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 42 + 517 + 40 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987425174041) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 286590124 + ... + 286604036.

It is an arithmetic number, because the mean of its divisors is an integer number (21570178500).

Almost surely, 2^{3987425174040} is an apocalyptic number.

3987425174040 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 3987425174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282948544000).

3987425174040 is an abundant number, since it is smaller than the sum of its proper divisors (12578471913960).

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

3987425174040 is a wasteful number, since it uses less digits than its factorization.

3987425174040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14173 (or 14152 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3987425174040 in words is "three trillion, nine hundred eighty-seven billion, four hundred twenty-five million, one hundred seventy-four thousand, forty".