428212607863040 has 1152 divisors, whose sum is σ = 1476641421803520. Its totient is φ = 114486607872000.

The previous prime is 428212607863021. The next prime is 428212607863049. The reversal of 428212607863040 is 40368706212824.

It is not an unprimeable number, because it can be changed into a prime (428212607863049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1720634615 + ... + 1720883465.

It is an arithmetic number, because the mean of its divisors is an integer number (1281806789760).

Almost surely, 2^{428212607863040} is an apocalyptic number.

428212607863040 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 428212607863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738320710901760).

428212607863040 is an abundant number, since it is smaller than the sum of its proper divisors (1048428813940480).

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

428212607863040 is a wasteful number, since it uses less digits than its factorization.

428212607863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248999 (or 248985 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 53.

The spelling of 428212607863040 in words is "four hundred twenty-eight trillion, two hundred twelve billion, six hundred seven million, eight hundred sixty-three thousand, forty".