4465416107100 has 288 divisors, whose sum is σ = 14130079617024. Its totient is φ = 1082221056000.

The previous prime is 4465416107051. The next prime is 4465416107129. The reversal of 4465416107100 is 17016145644.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66512149 + ... + 66579251.

It is an arithmetic number, because the mean of its divisors is an integer number (49062776448).

Almost surely, 2^{4465416107100} 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 4465416107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065039808512).

4465416107100 is an abundant number, since it is smaller than the sum of its proper divisors (9664663509924).

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

4465416107100 is a wasteful number, since it uses less digits than its factorization.

4465416107100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67397 (or 67390 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 4465416107100 in words is "four trillion, four hundred sixty-five billion, four hundred sixteen million, one hundred seven thousand, one hundred".