33340004140000 has 240 divisors, whose sum is σ = 86385616566480. Its totient is φ = 12627187200000.

The previous prime is 33340004139983. The next prime is 33340004140031. The reversal of 33340004140000 is 4140004333.

It is a super-2 number, since 2×33340004140000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722356924 + ... + 722403076.

It is an arithmetic number, because the mean of its divisors is an integer number (359940069027).

Almost surely, 2^{33340004140000} 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 33340004140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43192808283240).

33340004140000 is an abundant number, since it is smaller than the sum of its proper divisors (53045612426480).

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

33340004140000 is a wasteful number, since it uses less digits than its factorization.

33340004140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48103 (or 48080 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 33340004140000 its reverse (4140004333), we get a palindrome (33344144144333).

The spelling of 33340004140000 in words is "thirty-three trillion, three hundred forty billion, four million, one hundred forty thousand".