4025517691338 has 384 divisors, whose sum is σ = 11213030320128. Its totient is φ = 1024358400000.

The previous prime is 4025517691333. The next prime is 4025517691357. The reversal of 4025517691338 is 8331967155204.

It is a happy number.

4025517691338 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 517 + 6 + 91 + 3 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (4025517691333) 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, 1764802758 + ... + 1764805038.

It is an arithmetic number, because the mean of its divisors is an integer number (29200599792).

It is a 1-persistent number, because it is pandigital, but 2⋅4025517691338 = 8051035382676 is not.

Almost surely, 2^{4025517691338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4025517691338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606515160064).

4025517691338 is an abundant number, since it is smaller than the sum of its proper divisors (7187512628790).

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

4025517691338 is a wasteful number, since it uses less digits than its factorization.

4025517691338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4025517691338 in words is "four trillion, twenty-five billion, five hundred seventeen million, six hundred ninety-one thousand, three hundred thirty-eight".