33413032140000 has 240 divisors, whose sum is σ = 109634435562960. Its totient is φ = 8907458560000.

The previous prime is 33413032139969. The next prime is 33413032140029. The reversal of 33413032140000 is 4123031433.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33413032140000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 203257840 + ... + 203422160.

It is an arithmetic number, because the mean of its divisors is an integer number (456810148179).

Almost surely, 2^{33413032140000} is an apocalyptic number.

33413032140000 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 33413032140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817217781480).

33413032140000 is an abundant number, since it is smaller than the sum of its proper divisors (76221403422960).

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

33413032140000 is a wasteful number, since it uses less digits than its factorization.

33413032140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167743 (or 167720 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33413032140000 its reverse (4123031433), we get a palindrome (33417155171433).

The spelling of 33413032140000 in words is "thirty-three trillion, four hundred thirteen billion, thirty-two million, one hundred forty thousand".