33422400414 has 256 divisors, whose sum is σ = 88397568000. Its totient is φ = 9266503680.

The previous prime is 33422400359. The next prime is 33422400467. The reversal of 33422400414 is 41400422433.

It is a happy number.

33422400414 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 240 + 0 + 414 = 666.

It is a super-2 number, since 2×33422400414² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27462334 + ... + 27463550.

It is an arithmetic number, because the mean of its divisors is an integer number (345303000).

Almost surely, 2^33422400414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33422400414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784000).

33422400414 is an abundant number, since it is smaller than the sum of its proper divisors (54975167586).

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

33422400414 is a wasteful number, since it uses less digits than its factorization.

33422400414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 33422400414 its reverse (41400422433), we get a palindrome (74822822847).

The spelling of 33422400414 in words is "thirty-three billion, four hundred twenty-two million, four hundred thousand, four hundred fourteen".