4134420100096 has 176 divisors, whose sum is σ = 9854642508480. Its totient is φ = 1708826296320.

The previous prime is 4134420100073. The next prime is 4134420100141. The reversal of 4134420100096 is 6900010244314.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9600240 + ... + 10021648.

It is an arithmetic number, because the mean of its divisors is an integer number (55992286980).

Almost surely, 2^{4134420100096} 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 4134420100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927321254240).

4134420100096 is an abundant number, since it is smaller than the sum of its proper divisors (5720222408384).

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

4134420100096 is a wasteful number, since it uses less digits than its factorization.

4134420100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421520 (or 421502 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 4134420100096 in words is "four trillion, one hundred thirty-four billion, four hundred twenty million, one hundred thousand, ninety-six".