4042401010000 has 100 divisors (see below), whose sum is σ = 9818944207072. Its totient is φ = 1611692208000.

The previous prime is 4042401009991. The next prime is 4042401010031. The reversal of 4042401010000 is 101042404.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2411629 + ... + 3728371.

Almost surely, 2^{4042401010000} is an apocalyptic number.

4042401010000 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 4042401010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909472103536).

4042401010000 is an abundant number, since it is smaller than the sum of its proper divisors (5776543197072).

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

4042401010000 is a wasteful number, since it uses less digits than its factorization.

4042401010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317078 (or 1317057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4042401010000 its reverse (101042404), we get a palindrome (4042502052404).

The spelling of 4042401010000 in words is "four trillion, forty-two billion, four hundred one million, ten thousand".