33045340440 has 128 divisors (see below), whose sum is σ = 114571584000. Its totient is φ = 7468336128.

The previous prime is 33045340439. The next prime is 33045340441. The reversal of 33045340440 is 4404354033.

It is an interprime number because it is at equal distance from previous prime (33045340439) and next prime (33045340441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33045340398 and 33045340407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33045340441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146250 + ... + 295769.

It is an arithmetic number, because the mean of its divisors is an integer number (895090500).

Almost surely, 2^33045340440 is an apocalyptic number.

33045340440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33045340440 is an abundant number, since it is smaller than the sum of its proper divisors (81526243560).

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

33045340440 is a wasteful number, since it uses less digits than its factorization.

33045340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442129 (or 442125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 33045340440 its reverse (4404354033), we get a palindrome (37449694473).

The spelling of 33045340440 in words is "thirty-three billion, forty-five million, three hundred forty thousand, four hundred forty".