429408387072 has 608 divisors, whose sum is σ = 1485787415040. Its totient is φ = 121541492736.

The previous prime is 429408387059. The next prime is 429408387091. The reversal of 429408387072 is 270783804924.

It is a happy number.

429408387072 is a `hidden beast` number, since 429 + 4 + 0 + 83 + 8 + 70 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4013162443 + ... + 4013162549.

Almost surely, 2^429408387072 is an apocalyptic number.

429408387072 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 429408387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742893707520).

429408387072 is an abundant number, since it is smaller than the sum of its proper divisors (1056379027968).

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

429408387072 is an frugal number, since it uses more digits than its factorization.

429408387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 429408387072 in words is "four hundred twenty-nine billion, four hundred eight million, three hundred eighty-seven thousand, seventy-two".