4434314042100 has 144 divisors (see below), whose sum is σ = 13391128662912. Its totient is φ = 1130787863040.

The previous prime is 4434314042099. The next prime is 4434314042101. The reversal of 4434314042100 is 12404134344.

It is an interprime number because it is at equal distance from previous prime (4434314042099) and next prime (4434314042101).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434314042101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28163194 + ... + 28320206.

It is an arithmetic number, because the mean of its divisors is an integer number (92993949048).

Almost surely, 2^{4434314042100} 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 4434314042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695564331456).

4434314042100 is an abundant number, since it is smaller than the sum of its proper divisors (8956814620812).

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

4434314042100 is a wasteful number, since it uses less digits than its factorization.

4434314042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161146 (or 161139 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4434314042100 its reverse (12404134344), we get a palindrome (4446718176444).

The spelling of 4434314042100 in words is "four trillion, four hundred thirty-four billion, three hundred fourteen million, forty-two thousand, one hundred".