4041401314104 has 448 divisors, whose sum is σ = 14228538992640. Its totient is φ = 1044981492480.

The previous prime is 4041401314103. The next prime is 4041401314163. The reversal of 4041401314104 is 4014131041404.

4041401314104 is a `hidden beast` number, since 40 + 41 + 40 + 131 + 410 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041401314103) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 100121094 + ... + 100161450.

It is an arithmetic number, because the mean of its divisors is an integer number (31760131680).

Almost surely, 2^{4041401314104} is an apocalyptic number.

4041401314104 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 4041401314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114269496320).

4041401314104 is an abundant number, since it is smaller than the sum of its proper divisors (10187137678536).

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

4041401314104 is a wasteful number, since it uses less digits than its factorization.

4041401314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40622 (or 40603 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4041401314104 its reverse (4014131041404), we get a palindrome (8055532355508).

The spelling of 4041401314104 in words is "four trillion, forty-one billion, four hundred one million, three hundred fourteen thousand, one hundred four".