4414625506104 has 128 divisors (see below), whose sum is σ = 12122329536000. Its totient is φ = 1328609088000.

The previous prime is 4414625506103. The next prime is 4414625506111. The reversal of 4414625506104 is 4016055264144.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414625506103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233952382 + ... + 233971250.

It is an arithmetic number, because the mean of its divisors is an integer number (94705699500).

Almost surely, 2^{4414625506104} is an apocalyptic number.

4414625506104 is a gapful number since it is divisible by the number (44) 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 4414625506104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061164768000).

4414625506104 is an abundant number, since it is smaller than the sum of its proper divisors (7707704029896).

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

4414625506104 is a wasteful number, since it uses less digits than its factorization.

4414625506104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24909 (or 24905 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 4414625506104 in words is "four trillion, four hundred fourteen billion, six hundred twenty-five million, five hundred six thousand, one hundred four".