6402812017140 has 480 divisors, whose sum is σ = 26130908289024. Its totient is φ = 1272608029440.

The previous prime is 6402812017139. The next prime is 6402812017159. The reversal of 6402812017140 is 417102182046.

It is a happy number.

6402812017140 is a `hidden beast` number, since 6 + 402 + 8 + 1 + 201 + 7 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6402812017095 and 6402812017104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1753167 + ... + 3984873.

Almost surely, 2^{6402812017140} is an apocalyptic number.

6402812017140 is a gapful number since it is divisible by the number (60) 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 6402812017140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065454144512).

6402812017140 is an abundant number, since it is smaller than the sum of its proper divisors (19728096271884).

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

6402812017140 is a wasteful number, since it uses less digits than its factorization.

6402812017140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231769 (or 2231758 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 6402812017140 its reverse (417102182046), we get a palindrome (6819914199186).

The spelling of 6402812017140 in words is "six trillion, four hundred two billion, eight hundred twelve million, seventeen thousand, one hundred forty".