429811978368 has 256 divisors, whose sum is σ = 1244445696000. Its totient is φ = 130938716160.

The previous prime is 429811978301. The next prime is 429811978369. The reversal of 429811978368 is 863879118924.

It is a super-2 number, since 2×429811978368² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 429811978299 and 429811978308.

It is not an unprimeable number, because it can be changed into a prime (429811978369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76218493 + ... + 76224131.

It is an arithmetic number, because the mean of its divisors is an integer number (4861116000).

Almost surely, 2^429811978368 is an apocalyptic number.

429811978368 is a gapful number since it is divisible by the number (48) 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 429811978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622222848000).

429811978368 is an abundant number, since it is smaller than the sum of its proper divisors (814633717632).

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

429811978368 is a wasteful number, since it uses less digits than its factorization.

429811978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6031 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 66.

The spelling of 429811978368 in words is "four hundred twenty-nine billion, eight hundred eleven million, nine hundred seventy-eight thousand, three hundred sixty-eight".