428105456640000 has 3360 divisors, whose sum is σ = 1722661660811520. Its totient is φ = 102275481600000.

The previous prime is 428105456639977. The next prime is 428105456640007. The reversal of 428105456640000 is 46654501824.

It is a happy number.

428105456640000 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 0 + 545 + 66 + 40 + 0 + 0 + 0 = 666.

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 (428105456640007) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 7018122239970 + ... + 7018122240030.

Almost surely, 2^{428105456640000} is an apocalyptic number.

428105456640000 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 428105456640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861330830405760).

428105456640000 is an abundant number, since it is smaller than the sum of its proper divisors (1294556204171520).

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

428105456640000 is an frugal number, since it uses more digits than its factorization.

428105456640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 428105456640000 in words is "four hundred twenty-eight trillion, one hundred five billion, four hundred fifty-six million, six hundred forty thousand".