34133011440 has 160 divisors (see below), whose sum is σ = 117058079232. Its totient is φ = 8158080000.

The previous prime is 34133011439. The next prime is 34133011463. The reversal of 34133011440 is 4411033143.

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 34133011440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96390 + ... + 278490.

Almost surely, 2^34133011440 is an apocalyptic number.

34133011440 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 34133011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58529039616).

34133011440 is an abundant number, since it is smaller than the sum of its proper divisors (82925067792).

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

34133011440 is a wasteful number, since it uses less digits than its factorization.

34133011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182199 (or 182193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34133011440 its reverse (4411033143), we get a palindrome (38544044583).

The spelling of 34133011440 in words is "thirty-four billion, one hundred thirty-three million, eleven thousand, four hundred forty".