33427132440 has 256 divisors, whose sum is σ = 113903193600. Its totient is φ = 7779815424.

The previous prime is 33427132429. The next prime is 33427132447. The reversal of 33427132440 is 4423172433.

It is a happy number.

It is a super-2 number, since 2×33427132440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33427132447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23325964 + ... + 23327396.

It is an arithmetic number, because the mean of its divisors is an integer number (444934350).

Almost surely, 2^33427132440 is an apocalyptic number.

33427132440 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 33427132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56951596800).

33427132440 is an abundant number, since it is smaller than the sum of its proper divisors (80476061160).

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

33427132440 is a wasteful number, since it uses less digits than its factorization.

33427132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 33427132440 in words is "thirty-three billion, four hundred twenty-seven million, one hundred thirty-two thousand, four hundred forty".