6401941728 has 216 divisors, whose sum is σ = 21170841048. Its totient is φ = 1688214528.

The previous prime is 6401941699. The next prime is 6401941789. The reversal of 6401941728 is 8271491046.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6401941728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790950 + ... + 799002.

It is an arithmetic number, because the mean of its divisors is an integer number (98013153).

Almost surely, 2^6401941728 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 6401941728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10585420524).

6401941728 is an abundant number, since it is smaller than the sum of its proper divisors (14768899320).

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

6401941728 is a wasteful number, since it uses less digits than its factorization.

6401941728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6401941728 is about 80012.1348796543. The cubic root of 6401941728 is about 1856.8232791052.

The spelling of 6401941728 in words is "six billion, four hundred one million, nine hundred forty-one thousand, seven hundred twenty-eight".