6411416163828 has 96 divisors (see below), whose sum is σ = 17084556308736. Its totient is φ = 1853855864832.

The previous prime is 6411416163821. The next prime is 6411416163857. The reversal of 6411416163828 is 8283616141146.

It is a super-2 number, since 2×6411416163828² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411416163821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119376 + ... + 3582887.

It is an arithmetic number, because the mean of its divisors is an integer number (177964128216).

Almost surely, 2^{6411416163828} is an apocalyptic number.

6411416163828 is a gapful number since it is divisible by the number (68) 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 6411416163828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542278154368).

6411416163828 is an abundant number, since it is smaller than the sum of its proper divisors (10673140144908).

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

6411416163828 is a wasteful number, since it uses less digits than its factorization.

6411416163828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702953 (or 3702951 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 6411416163828 in words is "six trillion, four hundred eleven billion, four hundred sixteen million, one hundred sixty-three thousand, eight hundred twenty-eight".