4201100414000 has 160 divisors (see below), whose sum is σ = 11658025267200. Its totient is φ = 1434349459200.

The previous prime is 4201100413999. The next prime is 4201100414101. The reversal of 4201100414000 is 4140011024.

It is a self number, because there is not a number n which added to its sum of digits gives 4201100414000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2718221 + ... + 3973779.

It is an arithmetic number, because the mean of its divisors is an integer number (72862657920).

Almost surely, 2^{4201100414000} is an apocalyptic number.

4201100414000 is a gapful number since it is divisible by the number (40) 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 4201100414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829012633600).

4201100414000 is an abundant number, since it is smaller than the sum of its proper divisors (7456924853200).

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

4201100414000 is a wasteful number, since it uses less digits than its factorization.

4201100414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255828 (or 1255812 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 4201100414000 its reverse (4140011024), we get a palindrome (4205240425024).

The spelling of 4201100414000 in words is "four trillion, two hundred one billion, one hundred million, four hundred fourteen thousand".