4002381382527 has 192 divisors, whose sum is σ = 6943424302080. Its totient is φ = 2271770392320.

The previous prime is 4002381382523. The next prime is 4002381382537. The reversal of 4002381382527 is 7252831832004.

4002381382527 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 38 + 13 + 82 + 527 = 666.

It is not a de Polignac number, because 4002381382527 - 2² = 4002381382523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002381382523) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3134205613 + ... + 3134206889.

It is an arithmetic number, because the mean of its divisors is an integer number (36163668240).

Almost surely, 2^{4002381382527} is an apocalyptic number.

4002381382527 is a deficient number, since it is larger than the sum of its proper divisors (2941042919553).

4002381382527 is a wasteful number, since it uses less digits than its factorization.

4002381382527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4002381382527 in words is "four trillion, two billion, three hundred eighty-one million, three hundred eighty-two thousand, five hundred twenty-seven".