4013410513200 has 240 divisors, whose sum is σ = 14026989715200. Its totient is φ = 972813132800.

The previous prime is 4013410513193. The next prime is 4013410513213. The reversal of 4013410513200 is 23150143104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4013410513200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121938346 + ... + 121971254.

It is an arithmetic number, because the mean of its divisors is an integer number (58445790480).

Almost surely, 2^{4013410513200} is an apocalyptic number.

4013410513200 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 4013410513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013494857600).

4013410513200 is an abundant number, since it is smaller than the sum of its proper divisors (10013579202000).

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

4013410513200 is a wasteful number, since it uses less digits than its factorization.

4013410513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42180 (or 42169 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 4013410513200 its reverse (23150143104), we get a palindrome (4036560656304).

The spelling of 4013410513200 in words is "four trillion, thirteen billion, four hundred ten million, five hundred thirteen thousand, two hundred".