33420112440 has 256 divisors, whose sum is σ = 117965030400. Its totient is φ = 7467417600.

The previous prime is 33420112379. The next prime is 33420112469. The reversal of 33420112440 is 4421102433.

It is a super-2 number, since 2×33420112440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33420112440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17691016 + ... + 17692904.

It is an arithmetic number, because the mean of its divisors is an integer number (460800900).

Almost surely, 2^33420112440 is an apocalyptic number.

33420112440 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 33420112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58982515200).

33420112440 is an abundant number, since it is smaller than the sum of its proper divisors (84544917960).

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

33420112440 is a wasteful number, since it uses less digits than its factorization.

33420112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 33420112440 its reverse (4421102433), we get a palindrome (37841214873).

The spelling of 33420112440 in words is "thirty-three billion, four hundred twenty million, one hundred twelve thousand, four hundred forty".