34441125450 has 96 divisors (see below), whose sum is σ = 88005742272. Its totient is φ = 8908224000.

The previous prime is 34441125449. The next prime is 34441125517. The reversal of 34441125450 is 5452114443.

It is a happy number.

It is a super-2 number, since 2×34441125450² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047765 + ... + 1080135.

It is an arithmetic number, because the mean of its divisors is an integer number (916726482).

Almost surely, 2^34441125450 is an apocalyptic number.

34441125450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34441125450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44002871136).

34441125450 is an abundant number, since it is smaller than the sum of its proper divisors (53564616822).

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

34441125450 is a wasteful number, since it uses less digits than its factorization.

34441125450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32600 (or 32595 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 34441125450 its reverse (5452114443), we get a palindrome (39893239893).

The spelling of 34441125450 in words is "thirty-four billion, four hundred forty-one million, one hundred twenty-five thousand, four hundred fifty".