6428406448240 has 80 divisors (see below), whose sum is σ = 17084137348800. Its totient is φ = 2203645317120.

The previous prime is 6428406448169. The next prime is 6428406448271. The reversal of 6428406448240 is 428446048246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6428406448240² (a number of 26 digits) contains 22 as substring.

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, 2273736 + ... + 4245784.

It is an arithmetic number, because the mean of its divisors is an integer number (213551716860).

Almost surely, 2^{6428406448240} is an apocalyptic number.

It is an amenable number.

6428406448240 is an abundant number, since it is smaller than the sum of its proper divisors (10655730900560).

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

6428406448240 is a wasteful number, since it uses less digits than its factorization.

6428406448240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977890 (or 1977884 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 52.

The spelling of 6428406448240 in words is "six trillion, four hundred twenty-eight billion, four hundred six million, four hundred forty-eight thousand, two hundred forty".