340040033244120 has 512 divisors, whose sum is σ = 1158231799296000. Its totient is φ = 79134037032960.

The previous prime is 340040033244091. The next prime is 340040033244187. The reversal of 340040033244120 is 21442330040043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5513565604 + ... + 5513627276.

It is an arithmetic number, because the mean of its divisors is an integer number (2262171483000).

Almost surely, 2^{340040033244120} is an apocalyptic number.

340040033244120 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 340040033244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579115899648000).

340040033244120 is an abundant number, since it is smaller than the sum of its proper divisors (818191766051880).

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

340040033244120 is a wasteful number, since it uses less digits than its factorization.

340040033244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63243 (or 63239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 340040033244120 its reverse (21442330040043), we get a palindrome (361482363284163).

The spelling of 340040033244120 in words is "three hundred forty trillion, forty billion, thirty-three million, two hundred forty-four thousand, one hundred twenty".