430131950820 has 1152 divisors, whose sum is σ = 1722643034112. Its totient is φ = 85200076800.

The previous prime is 430131950819. The next prime is 430131950849. The reversal of 430131950820 is 28059131034.

430131950820 is a `hidden beast` number, since 430 + 13 + 195 + 0 + 8 + 20 = 666.

It is a super-3 number, since 3×430131950820³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 501903832 + ... + 501904688.

It is an arithmetic number, because the mean of its divisors is an integer number (1495349856).

Almost surely, 2^430131950820 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 430131950820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861321517056).

430131950820 is an abundant number, since it is smaller than the sum of its proper divisors (1292511083292).

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

430131950820 is a wasteful number, since it uses less digits than its factorization.

430131950820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 430131950820 in words is "four hundred thirty billion, one hundred thirty-one million, nine hundred fifty thousand, eight hundred twenty".