3413121101460 has 288 divisors, whose sum is σ = 11903957904384. Its totient is φ = 775412352000.

The previous prime is 3413121101459. The next prime is 3413121101461. The reversal of 3413121101460 is 641011213143.

3413121101460 is a `hidden beast` number, since 341 + 312 + 1 + 1 + 0 + 1 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3413121101459) and next prime (3413121101461).

It is a super-2 number, since 2×3413121101460² (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 (3413121101461) 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, 652477045 + ... + 652482275.

It is an arithmetic number, because the mean of its divisors is an integer number (41333187168).

Almost surely, 2^{3413121101460} is an apocalyptic number.

3413121101460 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 3413121101460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951978952192).

3413121101460 is an abundant number, since it is smaller than the sum of its proper divisors (8490836802924).

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

3413121101460 is a wasteful number, since it uses less digits than its factorization.

3413121101460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 3413121101460 in words is "three trillion, four hundred thirteen billion, one hundred twenty-one million, one hundred one thousand, four hundred sixty".