333134134400340 has 432 divisors, whose sum is σ = 1262915898281856. Its totient is φ = 69591719808000.

The previous prime is 333134134400339. The next prime is 333134134400407. The reversal of 333134134400340 is 43004431431333.

333134134400340 is a `hidden beast` number, since 3 + 33 + 134 + 13 + 440 + 0 + 3 + 40 = 666.

It is a super-2 number, since 2×333134134400340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 333134134400295 and 333134134400304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13762135 + ... + 29251745.

It is an arithmetic number, because the mean of its divisors is an integer number (2923416431208).

Almost surely, 2^{333134134400340} is an apocalyptic number.

333134134400340 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 333134134400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631457949140928).

333134134400340 is an abundant number, since it is smaller than the sum of its proper divisors (929781763881516).

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

333134134400340 is a wasteful number, since it uses less digits than its factorization.

333134134400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15489760 (or 15489742 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 333134134400340 its reverse (43004431431333), we get a palindrome (376138565831673).

The spelling of 333134134400340 in words is "three hundred thirty-three trillion, one hundred thirty-four billion, one hundred thirty-four million, four hundred thousand, three hundred forty".