340615315073220 has 384 divisors, whose sum is σ = 1101577153904640. Its totient is φ = 77861125816320.

The previous prime is 340615315073197. The next prime is 340615315073261. The reversal of 340615315073220 is 22370513516043.

It is a happy number.

It is a super-3 number, since 3×340615315073220³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416096644 + ... + 416914436.

It is an arithmetic number, because the mean of its divisors is an integer number (2868690504960).

Almost surely, 2^{340615315073220} is an apocalyptic number.

340615315073220 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 340615315073220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550788576952320).

340615315073220 is an abundant number, since it is smaller than the sum of its proper divisors (760961838831420).

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

340615315073220 is a wasteful number, since it uses less digits than its factorization.

340615315073220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818355 (or 818353 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

Adding to 340615315073220 its reverse (22370513516043), we get a palindrome (362985828589263).

The spelling of 340615315073220 in words is "three hundred forty trillion, six hundred fifteen billion, three hundred fifteen million, seventy-three thousand, two hundred twenty".