420088979520 has 1008 divisors, whose sum is σ = 1814804559360. Its totient is φ = 88658583552.

The previous prime is 420088979483. The next prime is 420088979521. The reversal of 420088979520 is 25979880024.

420088979520 is a `hidden beast` number, since 4 + 20 + 0 + 8 + 8 + 97 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (420088979521) 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 143 ways as a sum of consecutive naturals, for example, 94124809 + ... + 94129271.

Almost surely, 2^420088979520 is an apocalyptic number.

420088979520 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 420088979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907402279680).

420088979520 is an abundant number, since it is smaller than the sum of its proper divisors (1394715579840).

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

420088979520 is a wasteful number, since it uses less digits than its factorization.

420088979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 420088979520 in words is "four hundred twenty billion, eighty-eight million, nine hundred seventy-nine thousand, five hundred twenty".