6410406140 has 96 divisors (see below), whose sum is σ = 14226105600. Its totient is φ = 2423430144.

The previous prime is 6410406113. The next prime is 6410406151. The reversal of 6410406140 is 416040146.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5181602 + ... + 5182838.

It is an arithmetic number, because the mean of its divisors is an integer number (148188600).

Almost surely, 2^6410406140 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 6410406140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113052800).

6410406140 is an abundant number, since it is smaller than the sum of its proper divisors (7815699460).

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

6410406140 is a wasteful number, since it uses less digits than its factorization.

6410406140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 6410406140 is about 80065.0119590324. The cubic root of 6410406140 is about 1857.6412598690.

Adding to 6410406140 its reverse (416040146), we get a palindrome (6826446286).

The spelling of 6410406140 in words is "six billion, four hundred ten million, four hundred six thousand, one hundred forty".