420120250368 has 384 divisors, whose sum is σ = 1459641980160. Its totient is φ = 104280883200.

The previous prime is 420120250367. The next prime is 420120250373. The reversal of 420120250368 is 863052021024.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (420120250367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9482668 + ... + 9526868.

It is an arithmetic number, because the mean of its divisors is an integer number (3801150990).

Almost surely, 2^420120250368 is an apocalyptic number.

420120250368 is a gapful number since it is divisible by the number (48) 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 420120250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729820990080).

420120250368 is an abundant number, since it is smaller than the sum of its proper divisors (1039521729792).

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

420120250368 is a wasteful number, since it uses less digits than its factorization.

420120250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44263 (or 44243 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 420120250368 in words is "four hundred twenty billion, one hundred twenty million, two hundred fifty thousand, three hundred sixty-eight".