4334150004100 has 216 divisors, whose sum is σ = 11248857917640. Its totient is φ = 1444219822080.

The previous prime is 4334150004091. The next prime is 4334150004101. The reversal of 4334150004100 is 14000514334.

It can be written as a sum of positive squares in 12 ways, for example, as 2636648498176 + 1697501505924 = 1623776^2 + 1302882^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4334150004101) 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 71 ways as a sum of consecutive naturals, for example, 168414834 + ... + 168440566.

It is an arithmetic number, because the mean of its divisors is an integer number (52078045915).

Almost surely, 2^{4334150004100} 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 4334150004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624428958820).

4334150004100 is an abundant number, since it is smaller than the sum of its proper divisors (6914707913540).

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

4334150004100 is a wasteful number, since it uses less digits than its factorization.

4334150004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26727 (or 26713 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 4334150004100 its reverse (14000514334), we get a palindrome (4348150518434).

The spelling of 4334150004100 in words is "four trillion, three hundred thirty-four billion, one hundred fifty million, four thousand, one hundred".