6417346121340 has 192 divisors, whose sum is σ = 22578770608128. Its totient is φ = 1322974598400.

The previous prime is 6417346121299. The next prime is 6417346121363. The reversal of 6417346121340 is 431216437146.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6417346121292 and 6417346121301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4881906 + ... + 6055385.

It is an arithmetic number, because the mean of its divisors is an integer number (117597763584).

Almost surely, 2^{6417346121340} is an apocalyptic number.

6417346121340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6417346121340 is an abundant number, since it is smaller than the sum of its proper divisors (16161424486788).

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

6417346121340 is a wasteful number, since it uses less digits than its factorization.

6417346121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937448 (or 10937446 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 6417346121340 in words is "six trillion, four hundred seventeen billion, three hundred forty-six million, one hundred twenty-one thousand, three hundred forty".