421956300960 has 288 divisors, whose sum is σ = 1527348094272. Its totient is φ = 105713786880.

The previous prime is 421956300947. The next prime is 421956301021. The reversal of 421956300960 is 69003659124.

421956300960 is a `hidden beast` number, since 4 + 2 + 1 + 9 + 5 + 630 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13962987 + ... + 13993173.

It is an arithmetic number, because the mean of its divisors is an integer number (5303291994).

Almost surely, 2^421956300960 is an apocalyptic number.

421956300960 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 421956300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763674047136).

421956300960 is an abundant number, since it is smaller than the sum of its proper divisors (1105391793312).

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

421956300960 is a wasteful number, since it uses less digits than its factorization.

421956300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30796 (or 30785 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 421956300960 in words is "four hundred twenty-one billion, nine hundred fifty-six million, three hundred thousand, nine hundred sixty".