435996667172880 has 960 divisors, whose sum is σ = 1688003239163904. Its totient is φ = 99886141440000.

The previous prime is 435996667172851. The next prime is 435996667172887. The reversal of 435996667172880 is 88271766699534.

It is a super-3 number, since 3×435996667172880³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 435996667172880.

It is not an unprimeable number, because it can be changed into a prime (435996667172887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1810098534 + ... + 1810339386.

It is a 1-persistent number, because it is pandigital, but 2⋅435996667172880 = 871993334345760 is not.

Almost surely, 2^{435996667172880} is an apocalyptic number.

435996667172880 is a gapful number since it is divisible by the number (40) 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 435996667172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844001619581952).

435996667172880 is an abundant number, since it is smaller than the sum of its proper divisors (1252006571991024).

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

435996667172880 is a wasteful number, since it uses less digits than its factorization.

435996667172880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241088 (or 241079 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 435996667172880 in words is "four hundred thirty-five trillion, nine hundred ninety-six billion, six hundred sixty-seven million, one hundred seventy-two thousand, eight hundred eighty".