429025911552 has 270 divisors, whose sum is σ = 1488142819548. Its totient is φ = 122578541568.

The previous prime is 429025911547. The next prime is 429025911553. The reversal of 429025911552 is 255119520924.

429025911552 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 2 + 5 + 91 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 429025911498 and 429025911507.

It is not an unprimeable number, because it can be changed into a prime (429025911553) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 804943 + ... + 1227185.

Almost surely, 2^429025911552 is an apocalyptic number.

429025911552 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 429025911552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744071409774).

429025911552 is an abundant number, since it is smaller than the sum of its proper divisors (1059116907996).

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

429025911552 is an equidigital number, since it uses as much as digits as its factorization.

429025911552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422285 (or 422255 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 429025911552 in words is "four hundred twenty-nine billion, twenty-five million, nine hundred eleven thousand, five hundred fifty-two".