35423213200000 has 384 divisors, whose sum is σ = 89139912024240. Its totient is φ = 14020055040000.

The previous prime is 35423213199989. The next prime is 35423213200153. The reversal of 35423213200000 is 231232453.

It can be written as a sum of positive squares in 24 ways, for example, as 28202642299456 + 7220570900544 = 5310616^2 + 2687112^2 .

It is a super-3 number, since 3×35423213200000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 20440399134 + ... + 20440400866.

Almost surely, 2^{35423213200000} 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 35423213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44569956012120).

35423213200000 is an abundant number, since it is smaller than the sum of its proper divisors (53716698824240).

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

35423213200000 is an equidigital number, since it uses as much as digits as its factorization.

35423213200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 35423213200000 its reverse (231232453), we get a palindrome (35423444432453).

The spelling of 35423213200000 in words is "thirty-five trillion, four hundred twenty-three billion, two hundred thirteen million, two hundred thousand".