429144839802 has 160 divisors (see below), whose sum is σ = 1169721907200. Its totient is φ = 114795118080.

The previous prime is 429144839789. The next prime is 429144839803. The reversal of 429144839802 is 208938441924.

It is a happy number.

429144839802 is a `hidden beast` number, since 4 + 2 + 91 + 448 + 39 + 80 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (429144839803) 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, 3623824 + ... + 3740372.

It is an arithmetic number, because the mean of its divisors is an integer number (7310761920).

Almost surely, 2^429144839802 is an apocalyptic number.

429144839802 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 429144839802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584860953600).

429144839802 is an abundant number, since it is smaller than the sum of its proper divisors (740577067398).

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

429144839802 is a wasteful number, since it uses less digits than its factorization.

429144839802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116778 (or 116769 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 429144839802 in words is "four hundred twenty-nine billion, one hundred forty-four million, eight hundred thirty-nine thousand, eight hundred two".