33340470840000 has 840 divisors, whose sum is σ = 122135316937920. Its totient is φ = 8688992256000.

The previous prime is 33340470839993. The next prime is 33340470840029. The reversal of 33340470840000 is 4807404333.

It is a happy number.

It is a super-2 number, since 2×33340470840000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19508759146 + ... + 19508760854.

Almost surely, 2^{33340470840000} is an apocalyptic number.

33340470840000 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 33340470840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067658468960).

33340470840000 is an abundant number, since it is smaller than the sum of its proper divisors (88794846097920).

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

33340470840000 is a wasteful number, since it uses less digits than its factorization.

33340470840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 33340470840000 in words is "thirty-three trillion, three hundred forty billion, four hundred seventy million, eight hundred forty thousand".