430141545072 has 320 divisors, whose sum is σ = 1344231424000. Its totient is φ = 131192006400.

The previous prime is 430141545037. The next prime is 430141545073. The reversal of 430141545072 is 270545141034.

430141545072 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 41 + 545 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430141545073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157501947 + ... + 157504677.

It is an arithmetic number, because the mean of its divisors is an integer number (4200723200).

Almost surely, 2^430141545072 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 430141545072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672115712000).

430141545072 is an abundant number, since it is smaller than the sum of its proper divisors (914089878928).

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

430141545072 is a wasteful number, since it uses less digits than its factorization.

430141545072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 430141545072 in words is "four hundred thirty billion, one hundred forty-one million, five hundred forty-five thousand, seventy-two".