6410645353440 has 144 divisors (see below), whose sum is σ = 21896166172608. Its totient is φ = 1707955135488.

The previous prime is 6410645353433. The next prime is 6410645353447. The reversal of 6410645353440 is 443535460146.

6410645353440 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 64 + 53 + 534 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6410645353433) and next prime (6410645353447).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6410645353447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429739 + ... + 3606378.

It is an arithmetic number, because the mean of its divisors is an integer number (152056709532).

Almost surely, 2^{6410645353440} is an apocalyptic number.

6410645353440 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 6410645353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948083086304).

6410645353440 is an abundant number, since it is smaller than the sum of its proper divisors (15485520819168).

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

6410645353440 is a wasteful number, since it uses less digits than its factorization.

6410645353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037241 (or 4037230 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 6410645353440 in words is "six trillion, four hundred ten billion, six hundred forty-five million, three hundred fifty-three thousand, four hundred forty".