3415313101200 has 960 divisors, whose sum is σ = 14835154489344. Its totient is φ = 648576000000.

The previous prime is 3415313101171. The next prime is 3415313101201. The reversal of 3415313101200 is 21013135143.

It is a super-2 number, since 2×3415313101200² (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 not an unprimeable number, because it can be changed into a prime (3415313101201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121307125 + ... + 121335275.

Almost surely, 2^{3415313101200} is an apocalyptic number.

3415313101200 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 3415313101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417577244672).

3415313101200 is an abundant number, since it is smaller than the sum of its proper divisors (11419841388144).

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

3415313101200 is a wasteful number, since it uses less digits than its factorization.

3415313101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28304 (or 28293 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 3415313101200 its reverse (21013135143), we get a palindrome (3436326236343).

The spelling of 3415313101200 in words is "three trillion, four hundred fifteen billion, three hundred thirteen million, one hundred one thousand, two hundred".