4087755974016 has 1920 divisors, whose sum is σ = 15647957740800. Its totient is φ = 1041361920000.

The previous prime is 4087755974011. The next prime is 4087755974021. The reversal of 4087755974016 is 6104795577804.

4087755974016 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 7 + 559 + 74 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4087755974011) and next prime (4087755974021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087755974011) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27071231541 + ... + 27071231691.

It is an arithmetic number, because the mean of its divisors is an integer number (8149977990).

Almost surely, 2^{4087755974016} 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 4087755974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823978870400).

4087755974016 is an abundant number, since it is smaller than the sum of its proper divisors (11560201766784).

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

4087755974016 is a wasteful number, since it uses less digits than its factorization.

4087755974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 4087755974016 in words is "four trillion, eighty-seven billion, seven hundred fifty-five million, nine hundred seventy-four thousand, sixteen".