4002674117640 has 256 divisors, whose sum is σ = 13146471072000. Its totient is φ = 966883737600.

The previous prime is 4002674117593. The next prime is 4002674117677. The reversal of 4002674117640 is 467114762004.

It is a super-3 number, since 3×4002674117640³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4002674117592 and 4002674117601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503540386 + ... + 503548334.

It is an arithmetic number, because the mean of its divisors is an integer number (51353402625).

Almost surely, 2^{4002674117640} is an apocalyptic number.

4002674117640 is a gapful number since it is divisible by the number (40) 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 4002674117640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573235536000).

4002674117640 is an abundant number, since it is smaller than the sum of its proper divisors (9143796954360).

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

4002674117640 is a wasteful number, since it uses less digits than its factorization.

4002674117640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

Adding to 4002674117640 its reverse (467114762004), we get a palindrome (4469788879644).

The spelling of 4002674117640 in words is "four trillion, two billion, six hundred seventy-four million, one hundred seventeen thousand, six hundred forty".