3413501441400 has 192 divisors, whose sum is σ = 11146070534400. Its totient is φ = 861794933760.

The previous prime is 3413501441387. The next prime is 3413501441401. The reversal of 3413501441400 is 41441053143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413501441401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17493172 + ... + 17687228.

It is an arithmetic number, because the mean of its divisors is an integer number (58052450700).

Almost surely, 2^{3413501441400} is an apocalyptic number.

3413501441400 is a gapful number since it is divisible by the number (30) 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 3413501441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573035267200).

3413501441400 is an abundant number, since it is smaller than the sum of its proper divisors (7732569093000).

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

3413501441400 is a wasteful number, since it uses less digits than its factorization.

3413501441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195638 (or 195629 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 3413501441400 its reverse (41441053143), we get a palindrome (3454942494543).

The spelling of 3413501441400 in words is "three trillion, four hundred thirteen billion, five hundred one million, four hundred forty-one thousand, four hundred".