432123456789876 has 288 divisors, whose sum is σ = 1045161361520640. Its totient is φ = 138938904599040.

The previous prime is 432123456789863. The next prime is 432123456789883. The reversal of 432123456789876 is 678987654321234.

432123456789876 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (2926264320) is a multiple of the sum of its prime divisors (2352).

It is a junction number, because it is equal to n+sod(n) for n = 432123456789798 and 432123456789807.

It is a congruent number.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259222228795 + ... + 259222230461.

It is an arithmetic number, because the mean of its divisors is an integer number (3629032505280).

Almost surely, 2^{432123456789876} is an apocalyptic number.

It is an amenable number.

432123456789876 is an abundant number, since it is smaller than the sum of its proper divisors (613037904730764).

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

432123456789876 is a wasteful number, since it uses less digits than its factorization.

432123456789876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2352 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 75.

The spelling of 432123456789876 in words is "four hundred thirty-two trillion, one hundred twenty-three billion, four hundred fifty-six million, seven hundred eighty-nine thousand, eight hundred seventy-six".