428055344640 has 720 divisors, whose sum is σ = 1881341439120. Its totient is φ = 88943984640.

The previous prime is 428055344627. The next prime is 428055344641. The reversal of 428055344640 is 46443550824.

428055344640 is a `hidden beast` number, since 42 + 80 + 5 + 53 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (428055344641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12401326 + ... + 12435794.

It is an arithmetic number, because the mean of its divisors is an integer number (2612974221).

Almost surely, 2^428055344640 is an apocalyptic number.

428055344640 is a gapful number since it is divisible by the number (40) 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 428055344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940670719560).

428055344640 is an abundant number, since it is smaller than the sum of its proper divisors (1453286094480).

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

428055344640 is a wasteful number, since it uses less digits than its factorization.

428055344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34523 (or 34497 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 428055344640 in words is "four hundred twenty-eight billion, fifty-five million, three hundred forty-four thousand, six hundred forty".