33454305040 has 80 divisors (see below), whose sum is σ = 83868600816. Its totient is φ = 12336998400.

The previous prime is 33454305007. The next prime is 33454305041. The reversal of 33454305040 is 4050345433.

It can be written as a sum of positive squares in 8 ways, for example, as 891380736 + 32562924304 = 29856^2 + 180452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33454305040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33454304993 and 33454305011.

It is not an unprimeable number, because it can be changed into a prime (33454305041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834250 + ... + 873430.

Almost surely, 2^33454305040 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 33454305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41934300408).

33454305040 is an abundant number, since it is smaller than the sum of its proper divisors (50414295776).

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

33454305040 is a wasteful number, since it uses less digits than its factorization.

33454305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40028 (or 40022 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

The spelling of 33454305040 in words is "thirty-three billion, four hundred fifty-four million, three hundred five thousand, forty".