33114266640 has 960 divisors, whose sum is σ = 146623115520. Its totient is φ = 6804725760.

The previous prime is 33114266597. The next prime is 33114266659. The reversal of 33114266640 is 4666241133.

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

It is a junction number, because it is equal to n+sod(n) for n = 33114266595 and 33114266604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56412427 + ... + 56413013.

It is an arithmetic number, because the mean of its divisors is an integer number (152732412).

Almost surely, 2^33114266640 is an apocalyptic number.

33114266640 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 33114266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73311557760).

33114266640 is an abundant number, since it is smaller than the sum of its proper divisors (113508848880).

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

33114266640 is a wasteful number, since it uses less digits than its factorization.

33114266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 33114266640 in words is "thirty-three billion, one hundred fourteen million, two hundred sixty-six thousand, six hundred forty".