429187961930112 has 640 divisors, whose sum is σ = 1592812667001600. Its totient is φ = 111450155765760.

The previous prime is 429187961930029. The next prime is 429187961930113. The reversal of 429187961930112 is 211039169781924.

429187961930112 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 8 + 7 + 9 + 619 + 3 + 0 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 429187961930112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429187961930113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3376099383 + ... + 3376226505.

It is an arithmetic number, because the mean of its divisors is an integer number (2488769792190).

Almost surely, 2^{429187961930112} is an apocalyptic number.

429187961930112 is a gapful number since it is divisible by the number (42) 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 429187961930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796406333500800).

429187961930112 is an abundant number, since it is smaller than the sum of its proper divisors (1163624705071488).

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

429187961930112 is a wasteful number, since it uses less digits than its factorization.

429187961930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131396 (or 131375 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 429187961930112 in words is "four hundred twenty-nine trillion, one hundred eighty-seven billion, nine hundred sixty-one million, nine hundred thirty thousand, one hundred twelve".