34114011132400 has 240 divisors, whose sum is σ = 87259237908480. Its totient is φ = 12772059955200.

The previous prime is 34114011132391. The next prime is 34114011132407. The reversal of 34114011132400 is 423111041143.

It is a super-2 number, since 2×34114011132400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114011132407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4164812305 + ... + 4164820495.

It is an arithmetic number, because the mean of its divisors is an integer number (363580157952).

Almost surely, 2^{34114011132400} 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 34114011132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43629618954240).

34114011132400 is an abundant number, since it is smaller than the sum of its proper divisors (53145226776080).

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

34114011132400 is a wasteful number, since it uses less digits than its factorization.

34114011132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 34114011132400 its reverse (423111041143), we get a palindrome (34537122173543).

The spelling of 34114011132400 in words is "thirty-four trillion, one hundred fourteen billion, eleven million, one hundred thirty-two thousand, four hundred".