4113101400400 has 480 divisors, whose sum is σ = 10900390330368. Its totient is φ = 1485427507200.

The previous prime is 4113101400379. The next prime is 4113101400407. The reversal of 4113101400400 is 40041013114.

It is a super-2 number, since 2×4113101400400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113101400407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3341267785 + ... + 3341269015.

Almost surely, 2^{4113101400400} is an apocalyptic number.

4113101400400 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 4113101400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450195165184).

4113101400400 is an abundant number, since it is smaller than the sum of its proper divisors (6787288929968).

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

4113101400400 is a wasteful number, since it uses less digits than its factorization.

4113101400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 4113101400400 its reverse (40041013114), we get a palindrome (4153142413514).

The spelling of 4113101400400 in words is "four trillion, one hundred thirteen billion, one hundred one million, four hundred thousand, four hundred".