33200142314340 has 192 divisors, whose sum is σ = 95538886410240. Its totient is φ = 8612238297600.

The previous prime is 33200142314333. The next prime is 33200142314387. The reversal of 33200142314340 is 4341324100233.

It is a happy number.

It is a super-2 number, since 2×33200142314340² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33200142314298 and 33200142314307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79061451 + ... + 79480269.

It is an arithmetic number, because the mean of its divisors is an integer number (497598366720).

Almost surely, 2^{33200142314340} is an apocalyptic number.

33200142314340 is a gapful number since it is divisible by the number (30) 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 33200142314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47769443205120).

33200142314340 is an abundant number, since it is smaller than the sum of its proper divisors (62338744095900).

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

33200142314340 is a wasteful number, since it uses less digits than its factorization.

33200142314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419162 (or 419160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 33200142314340 its reverse (4341324100233), we get a palindrome (37541466414573).

The spelling of 33200142314340 in words is "thirty-three trillion, two hundred billion, one hundred forty-two million, three hundred fourteen thousand, three hundred forty".