6405026632144 has 80 divisors (see below), whose sum is σ = 14355241205760. Its totient is φ = 2711597385600.

The previous prime is 6405026632139. The next prime is 6405026632163. The reversal of 6405026632144 is 4412366205046.

It is a super-2 number, since 2×6405026632144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6405026632144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82128369 + ... + 82206319.

It is an arithmetic number, because the mean of its divisors is an integer number (179440515072).

Almost surely, 2^{6405026632144} 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 6405026632144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177620602880).

6405026632144 is an abundant number, since it is smaller than the sum of its proper divisors (7950214573616).

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

6405026632144 is a wasteful number, since it uses less digits than its factorization.

6405026632144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86888 (or 86882 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 6405026632144 in words is "six trillion, four hundred five billion, twenty-six million, six hundred thirty-two thousand, one hundred forty-four".