34133121440 has 96 divisors (see below), whose sum is σ = 88479651456. Its totient is φ = 12340188160.

The previous prime is 34133121413. The next prime is 34133121467. The reversal of 34133121440 is 4412133143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34133121413) and next prime (34133121467).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248429 + ... + 360531.

It is an arithmetic number, because the mean of its divisors is an integer number (921663036).

Almost surely, 2^34133121440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34133121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44239825728).

34133121440 is an abundant number, since it is smaller than the sum of its proper divisors (54346530016).

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

34133121440 is a wasteful number, since it uses less digits than its factorization.

34133121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112302 (or 112294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 34133121440 its reverse (4412133143), we get a palindrome (38545254583).

The spelling of 34133121440 in words is "thirty-four billion, one hundred thirty-three million, one hundred twenty-one thousand, four hundred forty".