429190009920 has 168 divisors, whose sum is σ = 1687125570624. Its totient is φ = 98100569088.

The previous prime is 429190009883. The next prime is 429190009921. The reversal of 429190009920 is 29900091924.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (429190009921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10624434 + ... + 10664753.

Almost surely, 2^429190009920 is an apocalyptic number.

429190009920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429190009920 is an abundant number, since it is smaller than the sum of its proper divisors (1257935560704).

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

429190009920 is a wasteful number, since it uses less digits than its factorization.

429190009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21289217 (or 21289204 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 429190009920 in words is "four hundred twenty-nine billion, one hundred ninety million, nine thousand, nine hundred twenty".