340408564778880 has 2048 divisors, whose sum is σ = 1415915053056000. Its totient is φ = 76542116659200.

The previous prime is 340408564778857. The next prime is 340408564779001. The reversal of 340408564778880 is 88877465804043.

340408564778880 is a `hidden beast` number, since 3 + 4 + 0 + 408 + 5 + 64 + 7 + 7 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 340408564778799 and 340408564778808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37444563135 + ... + 37444572225.

It is an arithmetic number, because the mean of its divisors is an integer number (691364772000).

Almost surely, 2^{340408564778880} is an apocalyptic number.

340408564778880 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 340408564778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707957526528000).

340408564778880 is an abundant number, since it is smaller than the sum of its proper divisors (1075506488277120).

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

340408564778880 is a wasteful number, since it uses less digits than its factorization.

340408564778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 72.

The spelling of 340408564778880 in words is "three hundred forty trillion, four hundred eight billion, five hundred sixty-four million, seven hundred seventy-eight thousand, eight hundred eighty".