430550152020000 has 720 divisors, whose sum is σ = 1570503385170720. Its totient is φ = 111783974400000.

The previous prime is 430550152019983. The next prime is 430550152020019. The reversal of 430550152020000 is 20251055034.

It is a happy number.

430550152020000 is a `hidden beast` number, since 4 + 305 + 5 + 0 + 152 + 0 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×430550152020000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3623520591 + ... + 3623639409.

It is an arithmetic number, because the mean of its divisors is an integer number (2181254701626).

Almost surely, 2^{430550152020000} is an apocalyptic number.

430550152020000 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 430550152020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785251692585360).

430550152020000 is an abundant number, since it is smaller than the sum of its proper divisors (1139953233150720).

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

430550152020000 is a wasteful number, since it uses less digits than its factorization.

430550152020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119387 (or 119361 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 430550152020000 in words is "four hundred thirty trillion, five hundred fifty billion, one hundred fifty-two million, twenty thousand".