420367455936 has 336 divisors, whose sum is σ = 1353581199360. Its totient is φ = 123948195840.

The previous prime is 420367455931. The next prime is 420367455983. The reversal of 420367455936 is 639554763024.

420367455936 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 6 + 7 + 45 + 593 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (420367455931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23619201 + ... + 23636991.

Almost surely, 2^420367455936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420367455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676790599680).

420367455936 is an abundant number, since it is smaller than the sum of its proper divisors (933213743424).

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

420367455936 is a wasteful number, since it uses less digits than its factorization.

420367455936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17972 (or 17959 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 420367455936 in words is "four hundred twenty billion, three hundred sixty-seven million, four hundred fifty-five thousand, nine hundred thirty-six".