423129819744 has 288 divisors, whose sum is σ = 1256502094848. Its totient is φ = 134918784000.

The previous prime is 423129819691. The next prime is 423129819793. The reversal of 423129819744 is 447918921324.

423129819744 is a `hidden beast` number, since 423 + 1 + 2 + 98 + 1 + 97 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×423129819744³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387126462 + ... + 387127554.

It is an arithmetic number, because the mean of its divisors is an integer number (4362854496).

Almost surely, 2^423129819744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423129819744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628251047424).

423129819744 is an abundant number, since it is smaller than the sum of its proper divisors (833372275104).

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

423129819744 is a wasteful number, since it uses less digits than its factorization.

423129819744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1591 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 423129819744 in words is "four hundred twenty-three billion, one hundred twenty-nine million, eight hundred nineteen thousand, seven hundred forty-four".