33459840000 has 660 divisors, whose sum is σ = 124782278764. Its totient is φ = 8626176000.

The previous prime is 33459839969. The next prime is 33459840083. The reversal of 33459840000 is 4895433.

It can be written as a sum of positive squares in 10 ways, for example, as 22084337664 + 11375502336 = 148608^2 + 106656^2 .

It is a super-2 number, since 2×33459840000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 213119922 + ... + 213120078.

Almost surely, 2^33459840000 is an apocalyptic number.

33459840000 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 33459840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62391139382).

33459840000 is an abundant number, since it is smaller than the sum of its proper divisors (91322438764).

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

33459840000 is a wasteful number, since it uses less digits than its factorization.

33459840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 33459840000 in words is "thirty-three billion, four hundred fifty-nine million, eight hundred forty thousand".